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Finding the Fourth Proportional to 20,652.29, 30,978.57 and 5,069.91

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Solution

The fourth proportional to 20,652.29, 30,978.57 and 5,069.91 is: 7,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.29 : 30,978.57 = 5,069.91 : x
  2. Step 2: Convert to fraction form
    20,652.29/30,978.57 = 5,069.91/x
  3. Step 3: Cross multiply
    20,652.29x = 30,978.57 × 5,069.91
  4. Step 4: Simplify right side
    20,652.29x = 157,058,561.83
  5. Step 5: Solve for x
    x = 157,058,561.83/20,652.29
  6. Step 6: Final answer
    x = 7,604.90

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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.