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Finding the Fourth Proportional to 15,644.34, 21,583.90 and 8,925.24

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Solution

The fourth proportional to 15,644.34, 21,583.90 and 8,925.24 is: 12,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.34 : 21,583.90 = 8,925.24 : x
  2. Step 2: Convert to fraction form
    15,644.34/21,583.90 = 8,925.24/x
  3. Step 3: Cross multiply
    15,644.34x = 21,583.90 × 8,925.24
  4. Step 4: Simplify right side
    15,644.34x = 192,641,487.64
  5. Step 5: Solve for x
    x = 192,641,487.64/15,644.34
  6. Step 6: Final answer
    x = 12,313.81

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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.