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Finding the Fourth Proportional to 31,471.55, 47,191.05 and 9,282.09

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Solution

The fourth proportional to 31,471.55, 47,191.05 and 9,282.09 is: 13,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.55 : 47,191.05 = 9,282.09 : x
  2. Step 2: Convert to fraction form
    31,471.55/47,191.05 = 9,282.09/x
  3. Step 3: Cross multiply
    31,471.55x = 47,191.05 × 9,282.09
  4. Step 4: Simplify right side
    31,471.55x = 438,031,573.29
  5. Step 5: Solve for x
    x = 438,031,573.29/31,471.55
  6. Step 6: Final answer
    x = 13,918.34

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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.