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Finding the Fourth Proportional to 14,785.86, 22,167 and 8,538.78

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Solution

The fourth proportional to 14,785.86, 22,167 and 8,538.78 is: 12,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.86 : 22,167 = 8,538.78 : x
  2. Step 2: Convert to fraction form
    14,785.86/22,167 = 8,538.78/x
  3. Step 3: Cross multiply
    14,785.86x = 22,167 × 8,538.78
  4. Step 4: Simplify right side
    14,785.86x = 189,279,136.26
  5. Step 5: Solve for x
    x = 189,279,136.26/14,785.86
  6. Step 6: Final answer
    x = 12,801.36

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1.5x scale

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.