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Finding the Fourth Proportional to 3,932.60, 5,898.90 and 971.04

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Solution

The fourth proportional to 3,932.60, 5,898.90 and 971.04 is: 1,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.60 : 5,898.90 = 971.04 : x
  2. Step 2: Convert to fraction form
    3,932.60/5,898.90 = 971.04/x
  3. Step 3: Cross multiply
    3,932.60x = 5,898.90 × 971.04
  4. Step 4: Simplify right side
    3,932.60x = 5,728,067.86
  5. Step 5: Solve for x
    x = 5,728,067.86/3,932.60
  6. Step 6: Final answer
    x = 1,456.56

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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.