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Finding the Fourth Proportional to 31,604.68, 47,409.78 and 8,231.08

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Solution

The fourth proportional to 31,604.68, 47,409.78 and 8,231.08 is: 12,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.68 : 47,409.78 = 8,231.08 : x
  2. Step 2: Convert to fraction form
    31,604.68/47,409.78 = 8,231.08/x
  3. Step 3: Cross multiply
    31,604.68x = 47,409.78 × 8,231.08
  4. Step 4: Simplify right side
    31,604.68x = 390,233,691.96
  5. Step 5: Solve for x
    x = 390,233,691.96/31,604.68
  6. Step 6: Final answer
    x = 12,347.34

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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.