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Finding the Fourth Proportional to 2,605.88, 3,908.40 and 963.20

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Solution

The fourth proportional to 2,605.88, 3,908.40 and 963.20 is: 1,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.88 : 3,908.40 = 963.20 : x
  2. Step 2: Convert to fraction form
    2,605.88/3,908.40 = 963.20/x
  3. Step 3: Cross multiply
    2,605.88x = 3,908.40 × 963.20
  4. Step 4: Simplify right side
    2,605.88x = 3,764,570.88
  5. Step 5: Solve for x
    x = 3,764,570.88/2,605.88
  6. Step 6: Final answer
    x = 1,444.64

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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.