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Finding the Fourth Proportional to 38,460, 57,690 and 10,758

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Solution

The fourth proportional to 38,460, 57,690 and 10,758 is: 16,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460 : 57,690 = 10,758 : x
  2. Step 2: Convert to fraction form
    38,460/57,690 = 10,758/x
  3. Step 3: Cross multiply
    38,460x = 57,690 × 10,758
  4. Step 4: Simplify right side
    38,460x = 620,629,020
  5. Step 5: Solve for x
    x = 620,629,020/38,460
  6. Step 6: Final answer
    x = 16,137

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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.