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Finding the Fourth Proportional to 1,815.57, 2,717.78 and 1,465.65

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Solution

The fourth proportional to 1,815.57, 2,717.78 and 1,465.65 is: 2,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.57 : 2,717.78 = 1,465.65 : x
  2. Step 2: Convert to fraction form
    1,815.57/2,717.78 = 1,465.65/x
  3. Step 3: Cross multiply
    1,815.57x = 2,717.78 × 1,465.65
  4. Step 4: Simplify right side
    1,815.57x = 3,983,306.93
  5. Step 5: Solve for x
    x = 3,983,306.93/1,815.57
  6. Step 6: Final answer
    x = 2,193.97

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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.