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Finding the Fourth Proportional to 21,583.71, 32,367.03 and 10,487.12

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Solution

The fourth proportional to 21,583.71, 32,367.03 and 10,487.12 is: 15,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.71 : 32,367.03 = 10,487.12 : x
  2. Step 2: Convert to fraction form
    21,583.71/32,367.03 = 10,487.12/x
  3. Step 3: Cross multiply
    21,583.71x = 32,367.03 × 10,487.12
  4. Step 4: Simplify right side
    21,583.71x = 339,436,765.82
  5. Step 5: Solve for x
    x = 339,436,765.82/21,583.71
  6. Step 6: Final answer
    x = 15,726.53

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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.