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Finding the Fourth Proportional to 7,876.80, 11,815.20 and 7,682.40

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Solution

The fourth proportional to 7,876.80, 11,815.20 and 7,682.40 is: 11,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.80 : 11,815.20 = 7,682.40 : x
  2. Step 2: Convert to fraction form
    7,876.80/11,815.20 = 7,682.40/x
  3. Step 3: Cross multiply
    7,876.80x = 11,815.20 × 7,682.40
  4. Step 4: Simplify right side
    7,876.80x = 90,769,092.48
  5. Step 5: Solve for x
    x = 90,769,092.48/7,876.80
  6. Step 6: Final answer
    x = 11,523.60

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Similar ratio
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1.5x scale

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.