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Finding the Fourth Proportional to 2,545.74, 3,818.62 and 696.87

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Solution

The fourth proportional to 2,545.74, 3,818.62 and 696.87 is: 1,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.74 : 3,818.62 = 696.87 : x
  2. Step 2: Convert to fraction form
    2,545.74/3,818.62 = 696.87/x
  3. Step 3: Cross multiply
    2,545.74x = 3,818.62 × 696.87
  4. Step 4: Simplify right side
    2,545.74x = 2,661,087.78
  5. Step 5: Solve for x
    x = 2,661,087.78/2,545.74
  6. Step 6: Final answer
    x = 1,045.31

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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.