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Finding the Fourth Proportional to 31,906.38, 47,858.70 and 9,718.80

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Solution

The fourth proportional to 31,906.38, 47,858.70 and 9,718.80 is: 14,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.38 : 47,858.70 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    31,906.38/47,858.70 = 9,718.80/x
  3. Step 3: Cross multiply
    31,906.38x = 47,858.70 × 9,718.80
  4. Step 4: Simplify right side
    31,906.38x = 465,129,133.56
  5. Step 5: Solve for x
    x = 465,129,133.56/31,906.38
  6. Step 6: Final answer
    x = 14,577.93

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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.