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Finding the Fourth Proportional to 38,642, 57,963 and 10,940

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Solution

The fourth proportional to 38,642, 57,963 and 10,940 is: 16,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642 : 57,963 = 10,940 : x
  2. Step 2: Convert to fraction form
    38,642/57,963 = 10,940/x
  3. Step 3: Cross multiply
    38,642x = 57,963 × 10,940
  4. Step 4: Simplify right side
    38,642x = 634,115,220
  5. Step 5: Solve for x
    x = 634,115,220/38,642
  6. Step 6: Final answer
    x = 16,410

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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.