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Finding the Fourth Proportional to 19,387, 29,057.02 and 8,842.57

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Solution

The fourth proportional to 19,387, 29,057.02 and 8,842.57 is: 13,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387 : 29,057.02 = 8,842.57 : x
  2. Step 2: Convert to fraction form
    19,387/29,057.02 = 8,842.57/x
  3. Step 3: Cross multiply
    19,387x = 29,057.02 × 8,842.57
  4. Step 4: Simplify right side
    19,387x = 256,938,733.34
  5. Step 5: Solve for x
    x = 256,938,733.34/19,387
  6. Step 6: Final answer
    x = 13,253.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.