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Finding the Fourth Proportional to 21,260.80, 31,892.80 and 5,678

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Solution

The fourth proportional to 21,260.80, 31,892.80 and 5,678 is: 8,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.80 : 31,892.80 = 5,678 : x
  2. Step 2: Convert to fraction form
    21,260.80/31,892.80 = 5,678/x
  3. Step 3: Cross multiply
    21,260.80x = 31,892.80 × 5,678
  4. Step 4: Simplify right side
    21,260.80x = 181,087,318.40
  5. Step 5: Solve for x
    x = 181,087,318.40/21,260.80
  6. Step 6: Final answer
    x = 8,517.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.