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Finding the Fourth Proportional to 15,791.80, 23,658.90 and 12,854.20

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Solution

The fourth proportional to 15,791.80, 23,658.90 and 12,854.20 is: 19,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.80 : 23,658.90 = 12,854.20 : x
  2. Step 2: Convert to fraction form
    15,791.80/23,658.90 = 12,854.20/x
  3. Step 3: Cross multiply
    15,791.80x = 23,658.90 × 12,854.20
  4. Step 4: Simplify right side
    15,791.80x = 304,116,232.38
  5. Step 5: Solve for x
    x = 304,116,232.38/15,791.80
  6. Step 6: Final answer
    x = 19,257.86

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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.