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Finding the Fourth Proportional to 2,963.16, 4,443.24 and 988.08

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Solution

The fourth proportional to 2,963.16, 4,443.24 and 988.08 is: 1,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.16 : 4,443.24 = 988.08 : x
  2. Step 2: Convert to fraction form
    2,963.16/4,443.24 = 988.08/x
  3. Step 3: Cross multiply
    2,963.16x = 4,443.24 × 988.08
  4. Step 4: Simplify right side
    2,963.16x = 4,390,276.58
  5. Step 5: Solve for x
    x = 4,390,276.58/2,963.16
  6. Step 6: Final answer
    x = 1,481.62

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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.