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Finding the Fourth Proportional to 8,174.77, 12,180.93 and 7,778.07

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Solution

The fourth proportional to 8,174.77, 12,180.93 and 7,778.07 is: 11,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.77 : 12,180.93 = 7,778.07 : x
  2. Step 2: Convert to fraction form
    8,174.77/12,180.93 = 7,778.07/x
  3. Step 3: Cross multiply
    8,174.77x = 12,180.93 × 7,778.07
  4. Step 4: Simplify right side
    8,174.77x = 94,744,126.21
  5. Step 5: Solve for x
    x = 94,744,126.21/8,174.77
  6. Step 6: Final answer
    x = 11,589.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.