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Finding the Fourth Proportional to 31,306.32, 46,959.48 and 7,932.88

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Solution

The fourth proportional to 31,306.32, 46,959.48 and 7,932.88 is: 11,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.32 : 46,959.48 = 7,932.88 : x
  2. Step 2: Convert to fraction form
    31,306.32/46,959.48 = 7,932.88/x
  3. Step 3: Cross multiply
    31,306.32x = 46,959.48 × 7,932.88
  4. Step 4: Simplify right side
    31,306.32x = 372,523,919.70
  5. Step 5: Solve for x
    x = 372,523,919.70/31,306.32
  6. Step 6: Final answer
    x = 11,899.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.