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Finding the Fourth Proportional to 31,807.70, 47,711.55 and 20,134.10

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Solution

The fourth proportional to 31,807.70, 47,711.55 and 20,134.10 is: 30,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.70 : 47,711.55 = 20,134.10 : x
  2. Step 2: Convert to fraction form
    31,807.70/47,711.55 = 20,134.10/x
  3. Step 3: Cross multiply
    31,807.70x = 47,711.55 × 20,134.10
  4. Step 4: Simplify right side
    31,807.70x = 960,629,118.86
  5. Step 5: Solve for x
    x = 960,629,118.86/31,807.70
  6. Step 6: Final answer
    x = 30,201.15

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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.