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Finding the Fourth Proportional to 31,657.80, 43,692.51 and 19,724.99

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Solution

The fourth proportional to 31,657.80, 43,692.51 and 19,724.99 is: 27,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.80 : 43,692.51 = 19,724.99 : x
  2. Step 2: Convert to fraction form
    31,657.80/43,692.51 = 19,724.99/x
  3. Step 3: Cross multiply
    31,657.80x = 43,692.51 × 19,724.99
  4. Step 4: Simplify right side
    31,657.80x = 861,834,104.36
  5. Step 5: Solve for x
    x = 861,834,104.36/31,657.80
  6. Step 6: Final answer
    x = 27,223.44

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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.