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Finding the Fourth Proportional to 7,162, 10,743.36 and 2,545.36

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Solution

The fourth proportional to 7,162, 10,743.36 and 2,545.36 is: 3,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162 : 10,743.36 = 2,545.36 : x
  2. Step 2: Convert to fraction form
    7,162/10,743.36 = 2,545.36/x
  3. Step 3: Cross multiply
    7,162x = 10,743.36 × 2,545.36
  4. Step 4: Simplify right side
    7,162x = 27,345,718.81
  5. Step 5: Solve for x
    x = 27,345,718.81/7,162
  6. Step 6: Final answer
    x = 3,818.17

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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.