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Finding the Fourth Proportional to 6,162, 9,243.12 and 1,545.12

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Solution

The fourth proportional to 6,162, 9,243.12 and 1,545.12 is: 2,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162 : 9,243.12 = 1,545.12 : x
  2. Step 2: Convert to fraction form
    6,162/9,243.12 = 1,545.12/x
  3. Step 3: Cross multiply
    6,162x = 9,243.12 × 1,545.12
  4. Step 4: Simplify right side
    6,162x = 14,281,729.57
  5. Step 5: Solve for x
    x = 14,281,729.57/6,162
  6. Step 6: Final answer
    x = 2,317.71

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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.