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Finding the Fourth Proportional to 14,521.78, 20,041.14 and 8,149.12

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Solution

The fourth proportional to 14,521.78, 20,041.14 and 8,149.12 is: 11,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.78 : 20,041.14 = 8,149.12 : x
  2. Step 2: Convert to fraction form
    14,521.78/20,041.14 = 8,149.12/x
  3. Step 3: Cross multiply
    14,521.78x = 20,041.14 × 8,149.12
  4. Step 4: Simplify right side
    14,521.78x = 163,317,654.80
  5. Step 5: Solve for x
    x = 163,317,654.80/14,521.78
  6. Step 6: Final answer
    x = 11,246.39

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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.