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Finding the Fourth Proportional to 8,000.18, 11,039.37 and 5,638.22

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Solution

The fourth proportional to 8,000.18, 11,039.37 and 5,638.22 is: 7,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.18 : 11,039.37 = 5,638.22 : x
  2. Step 2: Convert to fraction form
    8,000.18/11,039.37 = 5,638.22/x
  3. Step 3: Cross multiply
    8,000.18x = 11,039.37 × 5,638.22
  4. Step 4: Simplify right side
    8,000.18x = 62,242,424.32
  5. Step 5: Solve for x
    x = 62,242,424.32/8,000.18
  6. Step 6: Final answer
    x = 7,780.13

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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.