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Finding the Fourth Proportional to 38,912, 58,368 and 9,728

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Solution

The fourth proportional to 38,912, 58,368 and 9,728 is: 14,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912 : 58,368 = 9,728 : x
  2. Step 2: Convert to fraction form
    38,912/58,368 = 9,728/x
  3. Step 3: Cross multiply
    38,912x = 58,368 × 9,728
  4. Step 4: Simplify right side
    38,912x = 567,803,904
  5. Step 5: Solve for x
    x = 567,803,904/38,912
  6. Step 6: Final answer
    x = 14,592

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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.