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Finding the Fourth Proportional to 21,677.60, 32,478.60 and 9,966.80

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Solution

The fourth proportional to 21,677.60, 32,478.60 and 9,966.80 is: 14,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.60 : 32,478.60 = 9,966.80 : x
  2. Step 2: Convert to fraction form
    21,677.60/32,478.60 = 9,966.80/x
  3. Step 3: Cross multiply
    21,677.60x = 32,478.60 × 9,966.80
  4. Step 4: Simplify right side
    21,677.60x = 323,707,710.48
  5. Step 5: Solve for x
    x = 323,707,710.48/21,677.60
  6. Step 6: Final answer
    x = 14,932.82

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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.