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Finding the Fourth Proportional to 14,515.87, 20,032.11 and 8,143.87

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Solution

The fourth proportional to 14,515.87, 20,032.11 and 8,143.87 is: 11,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.87 : 20,032.11 = 8,143.87 : x
  2. Step 2: Convert to fraction form
    14,515.87/20,032.11 = 8,143.87/x
  3. Step 3: Cross multiply
    14,515.87x = 20,032.11 × 8,143.87
  4. Step 4: Simplify right side
    14,515.87x = 163,138,849.59
  5. Step 5: Solve for x
    x = 163,138,849.59/14,515.87
  6. Step 6: Final answer
    x = 11,238.66

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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.