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Finding the Fourth Proportional to 38,019, 57,030.12 and 10,317

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Solution

The fourth proportional to 38,019, 57,030.12 and 10,317 is: 15,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019 : 57,030.12 = 10,317 : x
  2. Step 2: Convert to fraction form
    38,019/57,030.12 = 10,317/x
  3. Step 3: Cross multiply
    38,019x = 57,030.12 × 10,317
  4. Step 4: Simplify right side
    38,019x = 588,379,748.04
  5. Step 5: Solve for x
    x = 588,379,748.04/38,019
  6. Step 6: Final answer
    x = 15,475.94

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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.