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Finding the Fourth Proportional to 8,778.86, 12,122.70 and 8,166.50

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Solution

The fourth proportional to 8,778.86, 12,122.70 and 8,166.50 is: 11,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.86 : 12,122.70 = 8,166.50 : x
  2. Step 2: Convert to fraction form
    8,778.86/12,122.70 = 8,166.50/x
  3. Step 3: Cross multiply
    8,778.86x = 12,122.70 × 8,166.50
  4. Step 4: Simplify right side
    8,778.86x = 99,000,029.55
  5. Step 5: Solve for x
    x = 99,000,029.55/8,778.86
  6. Step 6: Final answer
    x = 11,277.09

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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.