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Finding the Fourth Proportional to 31,756, 47,629.28 and 8,384.08

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Solution

The fourth proportional to 31,756, 47,629.28 and 8,384.08 is: 12,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756 : 47,629.28 = 8,384.08 : x
  2. Step 2: Convert to fraction form
    31,756/47,629.28 = 8,384.08/x
  3. Step 3: Cross multiply
    31,756x = 47,629.28 × 8,384.08
  4. Step 4: Simplify right side
    31,756x = 399,327,693.86
  5. Step 5: Solve for x
    x = 399,327,693.86/31,756
  6. Step 6: Final answer
    x = 12,574.87

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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.