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Finding the Fourth Proportional to 31,878.66, 47,818.02 and 14,343.78

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Solution

The fourth proportional to 31,878.66, 47,818.02 and 14,343.78 is: 21,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.66 : 47,818.02 = 14,343.78 : x
  2. Step 2: Convert to fraction form
    31,878.66/47,818.02 = 14,343.78/x
  3. Step 3: Cross multiply
    31,878.66x = 47,818.02 × 14,343.78
  4. Step 4: Simplify right side
    31,878.66x = 685,891,158.92
  5. Step 5: Solve for x
    x = 685,891,158.92/31,878.66
  6. Step 6: Final answer
    x = 21,515.68

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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.