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Finding the Fourth Proportional to 2,565.97, 3,849.21 and 923.15

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Solution

The fourth proportional to 2,565.97, 3,849.21 and 923.15 is: 1,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.97 : 3,849.21 = 923.15 : x
  2. Step 2: Convert to fraction form
    2,565.97/3,849.21 = 923.15/x
  3. Step 3: Cross multiply
    2,565.97x = 3,849.21 × 923.15
  4. Step 4: Simplify right side
    2,565.97x = 3,553,407.83
  5. Step 5: Solve for x
    x = 3,553,407.83/2,565.97
  6. Step 6: Final answer
    x = 1,384.82

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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.