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Finding the Fourth Proportional to 3,271.76, 4,908.48 and 963.28

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Solution

The fourth proportional to 3,271.76, 4,908.48 and 963.28 is: 1,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.76 : 4,908.48 = 963.28 : x
  2. Step 2: Convert to fraction form
    3,271.76/4,908.48 = 963.28/x
  3. Step 3: Cross multiply
    3,271.76x = 4,908.48 × 963.28
  4. Step 4: Simplify right side
    3,271.76x = 4,728,240.61
  5. Step 5: Solve for x
    x = 4,728,240.61/3,271.76
  6. Step 6: Final answer
    x = 1,445.17

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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.