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Finding the Fourth Proportional to 14,687.80, 20,268.76 and 8,399.76

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Solution

The fourth proportional to 14,687.80, 20,268.76 and 8,399.76 is: 11,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.80 : 20,268.76 = 8,399.76 : x
  2. Step 2: Convert to fraction form
    14,687.80/20,268.76 = 8,399.76/x
  3. Step 3: Cross multiply
    14,687.80x = 20,268.76 × 8,399.76
  4. Step 4: Simplify right side
    14,687.80x = 170,252,719.50
  5. Step 5: Solve for x
    x = 170,252,719.50/14,687.80
  6. Step 6: Final answer
    x = 11,591.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.