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Finding the Fourth Proportional to 39,984, 59,976 and 12,282

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Solution

The fourth proportional to 39,984, 59,976 and 12,282 is: 18,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 59,976 = 12,282 : x
  2. Step 2: Convert to fraction form
    39,984/59,976 = 12,282/x
  3. Step 3: Cross multiply
    39,984x = 59,976 × 12,282
  4. Step 4: Simplify right side
    39,984x = 736,625,232
  5. Step 5: Solve for x
    x = 736,625,232/39,984
  6. Step 6: Final answer
    x = 18,423

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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.