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Finding the Fourth Proportional to 21,472.96, 32,209.14 and 7,443.20

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Solution

The fourth proportional to 21,472.96, 32,209.14 and 7,443.20 is: 11,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.96 : 32,209.14 = 7,443.20 : x
  2. Step 2: Convert to fraction form
    21,472.96/32,209.14 = 7,443.20/x
  3. Step 3: Cross multiply
    21,472.96x = 32,209.14 × 7,443.20
  4. Step 4: Simplify right side
    21,472.96x = 239,739,070.85
  5. Step 5: Solve for x
    x = 239,739,070.85/21,472.96
  6. Step 6: Final answer
    x = 11,164.70

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1.5x scale

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.