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Finding the Fourth Proportional to 31,826.32, 47,740.92 and 9,642.88

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Solution

The fourth proportional to 31,826.32, 47,740.92 and 9,642.88 is: 14,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.32 : 47,740.92 = 9,642.88 : x
  2. Step 2: Convert to fraction form
    31,826.32/47,740.92 = 9,642.88/x
  3. Step 3: Cross multiply
    31,826.32x = 47,740.92 × 9,642.88
  4. Step 4: Simplify right side
    31,826.32x = 460,359,962.65
  5. Step 5: Solve for x
    x = 460,359,962.65/31,826.32
  6. Step 6: Final answer
    x = 14,464.76

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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.