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Finding the Fourth Proportional to 31,869.76, 43,978.45 and 17,722.30

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Solution

The fourth proportional to 31,869.76, 43,978.45 and 17,722.30 is: 24,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.76 : 43,978.45 = 17,722.30 : x
  2. Step 2: Convert to fraction form
    31,869.76/43,978.45 = 17,722.30/x
  3. Step 3: Cross multiply
    31,869.76x = 43,978.45 × 17,722.30
  4. Step 4: Simplify right side
    31,869.76x = 779,399,284.44
  5. Step 5: Solve for x
    x = 779,399,284.44/31,869.76
  6. Step 6: Final answer
    x = 24,455.76

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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.