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Finding the Fourth Proportional to 20,580.80, 30,878.40 and 8,902.40

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Solution

The fourth proportional to 20,580.80, 30,878.40 and 8,902.40 is: 13,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.80 : 30,878.40 = 8,902.40 : x
  2. Step 2: Convert to fraction form
    20,580.80/30,878.40 = 8,902.40/x
  3. Step 3: Cross multiply
    20,580.80x = 30,878.40 × 8,902.40
  4. Step 4: Simplify right side
    20,580.80x = 274,891,868.16
  5. Step 5: Solve for x
    x = 274,891,868.16/20,580.80
  6. Step 6: Final answer
    x = 13,356.71

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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.