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Finding the Fourth Proportional to 2,978.64, 4,463.28 and 2,247.66

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Solution

The fourth proportional to 2,978.64, 4,463.28 and 2,247.66 is: 3,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.64 : 4,463.28 = 2,247.66 : x
  2. Step 2: Convert to fraction form
    2,978.64/4,463.28 = 2,247.66/x
  3. Step 3: Cross multiply
    2,978.64x = 4,463.28 × 2,247.66
  4. Step 4: Simplify right side
    2,978.64x = 10,031,935.92
  5. Step 5: Solve for x
    x = 10,031,935.92/2,978.64
  6. Step 6: Final answer
    x = 3,367.96

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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.