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Finding the Fourth Proportional to 21,666.34, 32,489.16 and 13,764.52

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Solution

The fourth proportional to 21,666.34, 32,489.16 and 13,764.52 is: 20,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.34 : 32,489.16 = 13,764.52 : x
  2. Step 2: Convert to fraction form
    21,666.34/32,489.16 = 13,764.52/x
  3. Step 3: Cross multiply
    21,666.34x = 32,489.16 × 13,764.52
  4. Step 4: Simplify right side
    21,666.34x = 447,197,692.60
  5. Step 5: Solve for x
    x = 447,197,692.60/21,666.34
  6. Step 6: Final answer
    x = 20,640.20

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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.