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Finding the Fourth Proportional to 31,807.88, 43,891.14 and 17,657.24

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Solution

The fourth proportional to 31,807.88, 43,891.14 and 17,657.24 is: 24,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.88 : 43,891.14 = 17,657.24 : x
  2. Step 2: Convert to fraction form
    31,807.88/43,891.14 = 17,657.24/x
  3. Step 3: Cross multiply
    31,807.88x = 43,891.14 × 17,657.24
  4. Step 4: Simplify right side
    31,807.88x = 774,996,392.85
  5. Step 5: Solve for x
    x = 774,996,392.85/31,807.88
  6. Step 6: Final answer
    x = 24,364.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.