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Finding the Fourth Proportional to 2,569, 3,545.22 and 1,465

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Solution

The fourth proportional to 2,569, 3,545.22 and 1,465 is: 2,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 3,545.22 = 1,465 : x
  2. Step 2: Convert to fraction form
    2,569/3,545.22 = 1,465/x
  3. Step 3: Cross multiply
    2,569x = 3,545.22 × 1,465
  4. Step 4: Simplify right side
    2,569x = 5,193,747.30
  5. Step 5: Solve for x
    x = 5,193,747.30/2,569
  6. Step 6: Final answer
    x = 2,021.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.