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Finding the Fourth Proportional to 8,778.82, 13,178.52 and 6,931.18

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Solution

The fourth proportional to 8,778.82, 13,178.52 and 6,931.18 is: 10,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.82 : 13,178.52 = 6,931.18 : x
  2. Step 2: Convert to fraction form
    8,778.82/13,178.52 = 6,931.18/x
  3. Step 3: Cross multiply
    8,778.82x = 13,178.52 × 6,931.18
  4. Step 4: Simplify right side
    8,778.82x = 91,342,694.25
  5. Step 5: Solve for x
    x = 91,342,694.25/8,778.82
  6. Step 6: Final answer
    x = 10,404.89

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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.