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Finding the Fourth Proportional to 31,482.44, 47,218.19 and 11,761.17

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Solution

The fourth proportional to 31,482.44, 47,218.19 and 11,761.17 is: 17,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.44 : 47,218.19 = 11,761.17 : x
  2. Step 2: Convert to fraction form
    31,482.44/47,218.19 = 11,761.17/x
  3. Step 3: Cross multiply
    31,482.44x = 47,218.19 × 11,761.17
  4. Step 4: Simplify right side
    31,482.44x = 555,341,100.88
  5. Step 5: Solve for x
    x = 555,341,100.88/31,482.44
  6. Step 6: Final answer
    x = 17,639.71

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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.