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Finding the Fourth Proportional to 31,142.46, 46,708.68 and 8,950.80

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Solution

The fourth proportional to 31,142.46, 46,708.68 and 8,950.80 is: 13,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.46 : 46,708.68 = 8,950.80 : x
  2. Step 2: Convert to fraction form
    31,142.46/46,708.68 = 8,950.80/x
  3. Step 3: Cross multiply
    31,142.46x = 46,708.68 × 8,950.80
  4. Step 4: Simplify right side
    31,142.46x = 418,080,052.94
  5. Step 5: Solve for x
    x = 418,080,052.94/31,142.46
  6. Step 6: Final answer
    x = 13,424.76

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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.