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Finding the Fourth Proportional to 8,778.40, 13,148.40 and 6,815.20

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Solution

The fourth proportional to 8,778.40, 13,148.40 and 6,815.20 is: 10,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.40 : 13,148.40 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    8,778.40/13,148.40 = 6,815.20/x
  3. Step 3: Cross multiply
    8,778.40x = 13,148.40 × 6,815.20
  4. Step 4: Simplify right side
    8,778.40x = 89,608,975.68
  5. Step 5: Solve for x
    x = 89,608,975.68/8,778.40
  6. Step 6: Final answer
    x = 10,207.89

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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.