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Finding the Fourth Proportional to 38,292, 57,438 and 10,590

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Solution

The fourth proportional to 38,292, 57,438 and 10,590 is: 15,885

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292 : 57,438 = 10,590 : x
  2. Step 2: Convert to fraction form
    38,292/57,438 = 10,590/x
  3. Step 3: Cross multiply
    38,292x = 57,438 × 10,590
  4. Step 4: Simplify right side
    38,292x = 608,268,420
  5. Step 5: Solve for x
    x = 608,268,420/38,292
  6. Step 6: Final answer
    x = 15,885

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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.