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Finding the Fourth Proportional to 5,279.76, 7,921.10 and 2,162.00

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Solution

The fourth proportional to 5,279.76, 7,921.10 and 2,162.00 is: 3,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.76 : 7,921.10 = 2,162.00 : x
  2. Step 2: Convert to fraction form
    5,279.76/7,921.10 = 2,162.00/x
  3. Step 3: Cross multiply
    5,279.76x = 7,921.10 × 2,162.00
  4. Step 4: Simplify right side
    5,279.76x = 17,125,443.41
  5. Step 5: Solve for x
    x = 17,125,443.41/5,279.76
  6. Step 6: Final answer
    x = 3,243.60

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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.