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Finding the Fourth Proportional to 2,565.90, 3,846.54 and 922.05

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Solution

The fourth proportional to 2,565.90, 3,846.54 and 922.05 is: 1,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.90 : 3,846.54 = 922.05 : x
  2. Step 2: Convert to fraction form
    2,565.90/3,846.54 = 922.05/x
  3. Step 3: Cross multiply
    2,565.90x = 3,846.54 × 922.05
  4. Step 4: Simplify right side
    2,565.90x = 3,546,702.21
  5. Step 5: Solve for x
    x = 3,546,702.21/2,565.90
  6. Step 6: Final answer
    x = 1,382.24

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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.