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Finding the Fourth Proportional to 8,111.70, 11,194.14 and 4,385.70

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Solution

The fourth proportional to 8,111.70, 11,194.14 and 4,385.70 is: 6,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.70 : 11,194.14 = 4,385.70 : x
  2. Step 2: Convert to fraction form
    8,111.70/11,194.14 = 4,385.70/x
  3. Step 3: Cross multiply
    8,111.70x = 11,194.14 × 4,385.70
  4. Step 4: Simplify right side
    8,111.70x = 49,094,139.80
  5. Step 5: Solve for x
    x = 49,094,139.80/8,111.70
  6. Step 6: Final answer
    x = 6,052.26

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Half scale
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Double scale
Find fourth proportional to 8,112.70, 11,195.52 and 4,386.70
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.