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Finding the Fourth Proportional to 2,492.87, 3,739.82 and 932.85

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Solution

The fourth proportional to 2,492.87, 3,739.82 and 932.85 is: 1,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.87 : 3,739.82 = 932.85 : x
  2. Step 2: Convert to fraction form
    2,492.87/3,739.82 = 932.85/x
  3. Step 3: Cross multiply
    2,492.87x = 3,739.82 × 932.85
  4. Step 4: Simplify right side
    2,492.87x = 3,488,686.42
  5. Step 5: Solve for x
    x = 3,488,686.42/2,492.87
  6. Step 6: Final answer
    x = 1,399.47

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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.