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Finding the Fourth Proportional to 31,750.32, 47,621.64 and 8,378.52

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Solution

The fourth proportional to 31,750.32, 47,621.64 and 8,378.52 is: 12,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.32 : 47,621.64 = 8,378.52 : x
  2. Step 2: Convert to fraction form
    31,750.32/47,621.64 = 8,378.52/x
  3. Step 3: Cross multiply
    31,750.32x = 47,621.64 × 8,378.52
  4. Step 4: Simplify right side
    31,750.32x = 398,998,863.17
  5. Step 5: Solve for x
    x = 398,998,863.17/31,750.32
  6. Step 6: Final answer
    x = 12,566.77

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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.