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Finding the Fourth Proportional to 3,658.58, 5,490.92 and 3,314.12

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Solution

The fourth proportional to 3,658.58, 5,490.92 and 3,314.12 is: 4,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.58 : 5,490.92 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    3,658.58/5,490.92 = 3,314.12/x
  3. Step 3: Cross multiply
    3,658.58x = 5,490.92 × 3,314.12
  4. Step 4: Simplify right side
    3,658.58x = 18,197,589.80
  5. Step 5: Solve for x
    x = 18,197,589.80/3,658.58
  6. Step 6: Final answer
    x = 4,973.96

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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.