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Finding the Fourth Proportional to 21,124.80, 31,687.20 and 7,977.60

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Solution

The fourth proportional to 21,124.80, 31,687.20 and 7,977.60 is: 11,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.80 : 31,687.20 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    21,124.80/31,687.20 = 7,977.60/x
  3. Step 3: Cross multiply
    21,124.80x = 31,687.20 × 7,977.60
  4. Step 4: Simplify right side
    21,124.80x = 252,787,806.72
  5. Step 5: Solve for x
    x = 252,787,806.72/21,124.80
  6. Step 6: Final answer
    x = 11,966.40

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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.