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Finding the Fourth Proportional to 2,607.20, 3,911.12 and 963.75

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Solution

The fourth proportional to 2,607.20, 3,911.12 and 963.75 is: 1,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.20 : 3,911.12 = 963.75 : x
  2. Step 2: Convert to fraction form
    2,607.20/3,911.12 = 963.75/x
  3. Step 3: Cross multiply
    2,607.20x = 3,911.12 × 963.75
  4. Step 4: Simplify right side
    2,607.20x = 3,769,341.90
  5. Step 5: Solve for x
    x = 3,769,341.90/2,607.20
  6. Step 6: Final answer
    x = 1,445.74

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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.