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Finding the Fourth Proportional to 7,679.88, 11,521.04 and 2,748.16

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Solution

The fourth proportional to 7,679.88, 11,521.04 and 2,748.16 is: 4,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.88 : 11,521.04 = 2,748.16 : x
  2. Step 2: Convert to fraction form
    7,679.88/11,521.04 = 2,748.16/x
  3. Step 3: Cross multiply
    7,679.88x = 11,521.04 × 2,748.16
  4. Step 4: Simplify right side
    7,679.88x = 31,661,661.29
  5. Step 5: Solve for x
    x = 31,661,661.29/7,679.88
  6. Step 6: Final answer
    x = 4,122.68

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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.