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Finding the Fourth Proportional to 31,686.74, 47,513.70 and 16,891.68

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Solution

The fourth proportional to 31,686.74, 47,513.70 and 16,891.68 is: 25,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.74 : 47,513.70 = 16,891.68 : x
  2. Step 2: Convert to fraction form
    31,686.74/47,513.70 = 16,891.68/x
  3. Step 3: Cross multiply
    31,686.74x = 47,513.70 × 16,891.68
  4. Step 4: Simplify right side
    31,686.74x = 802,586,216.02
  5. Step 5: Solve for x
    x = 802,586,216.02/31,686.74
  6. Step 6: Final answer
    x = 25,328.78

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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.