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Finding the Fourth Proportional to 38,640, 57,960 and 10,938

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Solution

The fourth proportional to 38,640, 57,960 and 10,938 is: 16,407

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640 : 57,960 = 10,938 : x
  2. Step 2: Convert to fraction form
    38,640/57,960 = 10,938/x
  3. Step 3: Cross multiply
    38,640x = 57,960 × 10,938
  4. Step 4: Simplify right side
    38,640x = 633,966,480
  5. Step 5: Solve for x
    x = 633,966,480/38,640
  6. Step 6: Final answer
    x = 16,407

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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.