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Finding the Fourth Proportional to 8,077.59, 12,123.68 and 3,401.06

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Solution

The fourth proportional to 8,077.59, 12,123.68 and 3,401.06 is: 5,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.59 : 12,123.68 = 3,401.06 : x
  2. Step 2: Convert to fraction form
    8,077.59/12,123.68 = 3,401.06/x
  3. Step 3: Cross multiply
    8,077.59x = 12,123.68 × 3,401.06
  4. Step 4: Simplify right side
    8,077.59x = 41,233,363.10
  5. Step 5: Solve for x
    x = 41,233,363.10/8,077.59
  6. Step 6: Final answer
    x = 5,104.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.