Home / 31,758.17-47,639.28-8,384

Finding the Fourth Proportional to 31,758.17, 47,639.28 and 8,384

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Solution

The fourth proportional to 31,758.17, 47,639.28 and 8,384 is: 12,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.17 : 47,639.28 = 8,384 : x
  2. Step 2: Convert to fraction form
    31,758.17/47,639.28 = 8,384/x
  3. Step 3: Cross multiply
    31,758.17x = 47,639.28 × 8,384
  4. Step 4: Simplify right side
    31,758.17x = 399,407,723.52
  5. Step 5: Solve for x
    x = 399,407,723.52/31,758.17
  6. Step 6: Final answer
    x = 12,576.53

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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.