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Finding the Fourth Proportional to 7,764.54, 11,647.20 and 2,218.70

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Solution

The fourth proportional to 7,764.54, 11,647.20 and 2,218.70 is: 3,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.54 : 11,647.20 = 2,218.70 : x
  2. Step 2: Convert to fraction form
    7,764.54/11,647.20 = 2,218.70/x
  3. Step 3: Cross multiply
    7,764.54x = 11,647.20 × 2,218.70
  4. Step 4: Simplify right side
    7,764.54x = 25,841,642.64
  5. Step 5: Solve for x
    x = 25,841,642.64/7,764.54
  6. Step 6: Final answer
    x = 3,328.16

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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.