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Finding the Fourth Proportional to 15,664, 21,618.88 and 9,043.84

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Solution

The fourth proportional to 15,664, 21,618.88 and 9,043.84 is: 12,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664 : 21,618.88 = 9,043.84 : x
  2. Step 2: Convert to fraction form
    15,664/21,618.88 = 9,043.84/x
  3. Step 3: Cross multiply
    15,664x = 21,618.88 × 9,043.84
  4. Step 4: Simplify right side
    15,664x = 195,517,691.70
  5. Step 5: Solve for x
    x = 195,517,691.70/15,664
  6. Step 6: Final answer
    x = 12,481.98

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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.