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Finding the Fourth Proportional to 5,422.72, 8,135.04 and 1,964.80

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Solution

The fourth proportional to 5,422.72, 8,135.04 and 1,964.80 is: 2,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.72 : 8,135.04 = 1,964.80 : x
  2. Step 2: Convert to fraction form
    5,422.72/8,135.04 = 1,964.80/x
  3. Step 3: Cross multiply
    5,422.72x = 8,135.04 × 1,964.80
  4. Step 4: Simplify right side
    5,422.72x = 15,983,726.59
  5. Step 5: Solve for x
    x = 15,983,726.59/5,422.72
  6. Step 6: Final answer
    x = 2,947.55

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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.