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Finding the Fourth Proportional to 8,151.66, 12,225.75 and 2,306.70

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Solution

The fourth proportional to 8,151.66, 12,225.75 and 2,306.70 is: 3,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.66 : 12,225.75 = 2,306.70 : x
  2. Step 2: Convert to fraction form
    8,151.66/12,225.75 = 2,306.70/x
  3. Step 3: Cross multiply
    8,151.66x = 12,225.75 × 2,306.70
  4. Step 4: Simplify right side
    8,151.66x = 28,201,137.53
  5. Step 5: Solve for x
    x = 28,201,137.53/8,151.66
  6. Step 6: Final answer
    x = 3,459.56

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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.