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Finding the Fourth Proportional to 31,891.70, 47,839.35 and 9,705.80

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Solution

The fourth proportional to 31,891.70, 47,839.35 and 9,705.80 is: 14,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.70 : 47,839.35 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    31,891.70/47,839.35 = 9,705.80/x
  3. Step 3: Cross multiply
    31,891.70x = 47,839.35 × 9,705.80
  4. Step 4: Simplify right side
    31,891.70x = 464,319,163.23
  5. Step 5: Solve for x
    x = 464,319,163.23/31,891.70
  6. Step 6: Final answer
    x = 14,559.25

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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.