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Finding the Fourth Proportional to 8,658.90, 12,959.19 and 5,198.58

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Solution

The fourth proportional to 8,658.90, 12,959.19 and 5,198.58 is: 7,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.90 : 12,959.19 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    8,658.90/12,959.19 = 5,198.58/x
  3. Step 3: Cross multiply
    8,658.90x = 12,959.19 × 5,198.58
  4. Step 4: Simplify right side
    8,658.90x = 67,369,385.95
  5. Step 5: Solve for x
    x = 67,369,385.95/8,658.90
  6. Step 6: Final answer
    x = 7,780.36

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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.