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Finding the Fourth Proportional to 2,545.32, 3,818.16 and 813.94

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Solution

The fourth proportional to 2,545.32, 3,818.16 and 813.94 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.32 : 3,818.16 = 813.94 : x
  2. Step 2: Convert to fraction form
    2,545.32/3,818.16 = 813.94/x
  3. Step 3: Cross multiply
    2,545.32x = 3,818.16 × 813.94
  4. Step 4: Simplify right side
    2,545.32x = 3,107,753.15
  5. Step 5: Solve for x
    x = 3,107,753.15/2,545.32
  6. Step 6: Final answer
    x = 1,220.97

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1.5x scale

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.