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Finding the Fourth Proportional to 31,913.40, 47,891.70 and 14,374.20

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Solution

The fourth proportional to 31,913.40, 47,891.70 and 14,374.20 is: 21,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.40 : 47,891.70 = 14,374.20 : x
  2. Step 2: Convert to fraction form
    31,913.40/47,891.70 = 14,374.20/x
  3. Step 3: Cross multiply
    31,913.40x = 47,891.70 × 14,374.20
  4. Step 4: Simplify right side
    31,913.40x = 688,404,874.14
  5. Step 5: Solve for x
    x = 688,404,874.14/31,913.40
  6. Step 6: Final answer
    x = 21,571.03

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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.