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Finding the Fourth Proportional to 2,565.47, 3,542.03 and 1,621.65

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Solution

The fourth proportional to 2,565.47, 3,542.03 and 1,621.65 is: 2,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.47 : 3,542.03 = 1,621.65 : x
  2. Step 2: Convert to fraction form
    2,565.47/3,542.03 = 1,621.65/x
  3. Step 3: Cross multiply
    2,565.47x = 3,542.03 × 1,621.65
  4. Step 4: Simplify right side
    2,565.47x = 5,743,914.32
  5. Step 5: Solve for x
    x = 5,743,914.32/2,565.47
  6. Step 6: Final answer
    x = 2,238.93

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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.