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Finding the Fourth Proportional to 2,545.70, 3,818.61 and 1,064.61

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Solution

The fourth proportional to 2,545.70, 3,818.61 and 1,064.61 is: 1,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.70 : 3,818.61 = 1,064.61 : x
  2. Step 2: Convert to fraction form
    2,545.70/3,818.61 = 1,064.61/x
  3. Step 3: Cross multiply
    2,545.70x = 3,818.61 × 1,064.61
  4. Step 4: Simplify right side
    2,545.70x = 4,065,330.39
  5. Step 5: Solve for x
    x = 4,065,330.39/2,545.70
  6. Step 6: Final answer
    x = 1,596.94

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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.