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Finding the Fourth Proportional to 21,697.50, 32,551.08 and 9,217.92

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Solution

The fourth proportional to 21,697.50, 32,551.08 and 9,217.92 is: 13,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.50 : 32,551.08 = 9,217.92 : x
  2. Step 2: Convert to fraction form
    21,697.50/32,551.08 = 9,217.92/x
  3. Step 3: Cross multiply
    21,697.50x = 32,551.08 × 9,217.92
  4. Step 4: Simplify right side
    21,697.50x = 300,053,251.35
  5. Step 5: Solve for x
    x = 300,053,251.35/21,697.50
  6. Step 6: Final answer
    x = 13,828.93

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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.