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Finding the Fourth Proportional to 15,684, 21,644.88 and 9,060

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Solution

The fourth proportional to 15,684, 21,644.88 and 9,060 is: 12,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 21,644.88 = 9,060 : x
  2. Step 2: Convert to fraction form
    15,684/21,644.88 = 9,060/x
  3. Step 3: Cross multiply
    15,684x = 21,644.88 × 9,060
  4. Step 4: Simplify right side
    15,684x = 196,102,612.80
  5. Step 5: Solve for x
    x = 196,102,612.80/15,684
  6. Step 6: Final answer
    x = 12,503.35

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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.