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Finding the Fourth Proportional to 21,665.60, 32,512.80 and 9,972.80

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Solution

The fourth proportional to 21,665.60, 32,512.80 and 9,972.80 is: 14,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.60 : 32,512.80 = 9,972.80 : x
  2. Step 2: Convert to fraction form
    21,665.60/32,512.80 = 9,972.80/x
  3. Step 3: Cross multiply
    21,665.60x = 32,512.80 × 9,972.80
  4. Step 4: Simplify right side
    21,665.60x = 324,243,651.84
  5. Step 5: Solve for x
    x = 324,243,651.84/21,665.60
  6. Step 6: Final answer
    x = 14,965.83

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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.