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Finding the Fourth Proportional to 38,464, 57,696 and 9,280

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Solution

The fourth proportional to 38,464, 57,696 and 9,280 is: 13,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464 : 57,696 = 9,280 : x
  2. Step 2: Convert to fraction form
    38,464/57,696 = 9,280/x
  3. Step 3: Cross multiply
    38,464x = 57,696 × 9,280
  4. Step 4: Simplify right side
    38,464x = 535,418,880
  5. Step 5: Solve for x
    x = 535,418,880/38,464
  6. Step 6: Final answer
    x = 13,920

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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.