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Finding the Fourth Proportional to 22,372.80, 30,868.96 and 13,420.96

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Solution

The fourth proportional to 22,372.80, 30,868.96 and 13,420.96 is: 18,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.80 : 30,868.96 = 13,420.96 : x
  2. Step 2: Convert to fraction form
    22,372.80/30,868.96 = 13,420.96/x
  3. Step 3: Cross multiply
    22,372.80x = 30,868.96 × 13,420.96
  4. Step 4: Simplify right side
    22,372.80x = 414,291,077.40
  5. Step 5: Solve for x
    x = 414,291,077.40/22,372.80
  6. Step 6: Final answer
    x = 18,517.62

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1.5x scale

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.