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Finding the Fourth Proportional to 38,421, 57,609.36 and 15,034.68

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Solution

The fourth proportional to 38,421, 57,609.36 and 15,034.68 is: 22,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 57,609.36 = 15,034.68 : x
  2. Step 2: Convert to fraction form
    38,421/57,609.36 = 15,034.68/x
  3. Step 3: Cross multiply
    38,421x = 57,609.36 × 15,034.68
  4. Step 4: Simplify right side
    38,421x = 866,138,292.60
  5. Step 5: Solve for x
    x = 866,138,292.60/38,421
  6. Step 6: Final answer
    x = 22,543.36

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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.