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Finding the Fourth Proportional to 8,123.86, 12,186.22 and 2,280.93

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Solution

The fourth proportional to 8,123.86, 12,186.22 and 2,280.93 is: 3,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.86 : 12,186.22 = 2,280.93 : x
  2. Step 2: Convert to fraction form
    8,123.86/12,186.22 = 2,280.93/x
  3. Step 3: Cross multiply
    8,123.86x = 12,186.22 × 2,280.93
  4. Step 4: Simplify right side
    8,123.86x = 27,795,871.94
  5. Step 5: Solve for x
    x = 27,795,871.94/8,123.86
  6. Step 6: Final answer
    x = 3,421.51

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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.