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Finding the Fourth Proportional to 45,280, 67,920 and 12,448

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Solution

The fourth proportional to 45,280, 67,920 and 12,448 is: 18,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,280 : 67,920 = 12,448 : x
  2. Step 2: Convert to fraction form
    45,280/67,920 = 12,448/x
  3. Step 3: Cross multiply
    45,280x = 67,920 × 12,448
  4. Step 4: Simplify right side
    45,280x = 845,468,160
  5. Step 5: Solve for x
    x = 845,468,160/45,280
  6. Step 6: Final answer
    x = 18,672

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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.