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Finding the Fourth Proportional to 2,565.44, 3,850.03 and 1,981.90

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Solution

The fourth proportional to 2,565.44, 3,850.03 and 1,981.90 is: 2,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.44 : 3,850.03 = 1,981.90 : x
  2. Step 2: Convert to fraction form
    2,565.44/3,850.03 = 1,981.90/x
  3. Step 3: Cross multiply
    2,565.44x = 3,850.03 × 1,981.90
  4. Step 4: Simplify right side
    2,565.44x = 7,630,381.75
  5. Step 5: Solve for x
    x = 7,630,381.75/2,565.44
  6. Step 6: Final answer
    x = 2,974.30

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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.