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Finding the Fourth Proportional to 38,432, 57,648 and 9,248

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Solution

The fourth proportional to 38,432, 57,648 and 9,248 is: 13,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432 : 57,648 = 9,248 : x
  2. Step 2: Convert to fraction form
    38,432/57,648 = 9,248/x
  3. Step 3: Cross multiply
    38,432x = 57,648 × 9,248
  4. Step 4: Simplify right side
    38,432x = 533,128,704
  5. Step 5: Solve for x
    x = 533,128,704/38,432
  6. Step 6: Final answer
    x = 13,872

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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.