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Finding the Fourth Proportional to 9,175.80, 12,658.50 and 5,817.72

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Solution

The fourth proportional to 9,175.80, 12,658.50 and 5,817.72 is: 8,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.80 : 12,658.50 = 5,817.72 : x
  2. Step 2: Convert to fraction form
    9,175.80/12,658.50 = 5,817.72/x
  3. Step 3: Cross multiply
    9,175.80x = 12,658.50 × 5,817.72
  4. Step 4: Simplify right side
    9,175.80x = 73,643,608.62
  5. Step 5: Solve for x
    x = 73,643,608.62/9,175.80
  6. Step 6: Final answer
    x = 8,025.85

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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.