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Finding the Fourth Proportional to 15,960, 22,024.80 and 9,336

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Solution

The fourth proportional to 15,960, 22,024.80 and 9,336 is: 12,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 22,024.80 = 9,336 : x
  2. Step 2: Convert to fraction form
    15,960/22,024.80 = 9,336/x
  3. Step 3: Cross multiply
    15,960x = 22,024.80 × 9,336
  4. Step 4: Simplify right side
    15,960x = 205,623,532.80
  5. Step 5: Solve for x
    x = 205,623,532.80/15,960
  6. Step 6: Final answer
    x = 12,883.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.