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Finding the Fourth Proportional to 31,908.70, 47,864.88 and 9,722.80

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Solution

The fourth proportional to 31,908.70, 47,864.88 and 9,722.80 is: 14,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.70 : 47,864.88 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    31,908.70/47,864.88 = 9,722.80/x
  3. Step 3: Cross multiply
    31,908.70x = 47,864.88 × 9,722.80
  4. Step 4: Simplify right side
    31,908.70x = 465,380,655.26
  5. Step 5: Solve for x
    x = 465,380,655.26/31,908.70
  6. Step 6: Final answer
    x = 14,584.76

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1.5x scale

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.