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Finding the Fourth Proportional to 31,866.24, 47,806.92 and 9,680.88

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Solution

The fourth proportional to 31,866.24, 47,806.92 and 9,680.88 is: 14,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.24 : 47,806.92 = 9,680.88 : x
  2. Step 2: Convert to fraction form
    31,866.24/47,806.92 = 9,680.88/x
  3. Step 3: Cross multiply
    31,866.24x = 47,806.92 × 9,680.88
  4. Step 4: Simplify right side
    31,866.24x = 462,813,055.69
  5. Step 5: Solve for x
    x = 462,813,055.69/31,866.24
  6. Step 6: Final answer
    x = 14,523.62

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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.