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Finding the Fourth Proportional to 8,085.70, 11,145.51 and 7,407.70

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Solution

The fourth proportional to 8,085.70, 11,145.51 and 7,407.70 is: 10,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.70 : 11,145.51 = 7,407.70 : x
  2. Step 2: Convert to fraction form
    8,085.70/11,145.51 = 7,407.70/x
  3. Step 3: Cross multiply
    8,085.70x = 11,145.51 × 7,407.70
  4. Step 4: Simplify right side
    8,085.70x = 82,562,594.43
  5. Step 5: Solve for x
    x = 82,562,594.43/8,085.70
  6. Step 6: Final answer
    x = 10,210.94

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Half scale
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Double scale
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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.