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Finding the Fourth Proportional to 31,899, 47,846.86 and 9,711.88

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Solution

The fourth proportional to 31,899, 47,846.86 and 9,711.88 is: 14,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899 : 47,846.86 = 9,711.88 : x
  2. Step 2: Convert to fraction form
    31,899/47,846.86 = 9,711.88/x
  3. Step 3: Cross multiply
    31,899x = 47,846.86 × 9,711.88
  4. Step 4: Simplify right side
    31,899x = 464,682,962.70
  5. Step 5: Solve for x
    x = 464,682,962.70/31,899
  6. Step 6: Final answer
    x = 14,567.32

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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.