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Finding the Fourth Proportional to 13,553.68, 18,704.18 and 7,585.91

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Solution

The fourth proportional to 13,553.68, 18,704.18 and 7,585.91 is: 10,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.68 : 18,704.18 = 7,585.91 : x
  2. Step 2: Convert to fraction form
    13,553.68/18,704.18 = 7,585.91/x
  3. Step 3: Cross multiply
    13,553.68x = 18,704.18 × 7,585.91
  4. Step 4: Simplify right side
    13,553.68x = 141,888,226.10
  5. Step 5: Solve for x
    x = 141,888,226.10/13,553.68
  6. Step 6: Final answer
    x = 10,468.61

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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.