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Finding the Fourth Proportional to 51,280, 76,920 and 14,344

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Solution

The fourth proportional to 51,280, 76,920 and 14,344 is: 21,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,280 : 76,920 = 14,344 : x
  2. Step 2: Convert to fraction form
    51,280/76,920 = 14,344/x
  3. Step 3: Cross multiply
    51,280x = 76,920 × 14,344
  4. Step 4: Simplify right side
    51,280x = 1,103,340,480
  5. Step 5: Solve for x
    x = 1,103,340,480/51,280
  6. Step 6: Final answer
    x = 21,516

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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.