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Finding the Fourth Proportional to 13,686.64, 18,859.68 and 9,439

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Solution

The fourth proportional to 13,686.64, 18,859.68 and 9,439 is: 13,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.64 : 18,859.68 = 9,439 : x
  2. Step 2: Convert to fraction form
    13,686.64/18,859.68 = 9,439/x
  3. Step 3: Cross multiply
    13,686.64x = 18,859.68 × 9,439
  4. Step 4: Simplify right side
    13,686.64x = 178,016,519.52
  5. Step 5: Solve for x
    x = 178,016,519.52/13,686.64
  6. Step 6: Final answer
    x = 13,006.59

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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.