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Finding the Fourth Proportional to 2,545.59, 3,815.95 and 813.09

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Solution

The fourth proportional to 2,545.59, 3,815.95 and 813.09 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.59 : 3,815.95 = 813.09 : x
  2. Step 2: Convert to fraction form
    2,545.59/3,815.95 = 813.09/x
  3. Step 3: Cross multiply
    2,545.59x = 3,815.95 × 813.09
  4. Step 4: Simplify right side
    2,545.59x = 3,102,710.79
  5. Step 5: Solve for x
    x = 3,102,710.79/2,545.59
  6. Step 6: Final answer
    x = 1,218.86

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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.