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Finding the Fourth Proportional to 7,679.52, 11,520 and 4,620.96

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Solution

The fourth proportional to 7,679.52, 11,520 and 4,620.96 is: 6,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.52 : 11,520 = 4,620.96 : x
  2. Step 2: Convert to fraction form
    7,679.52/11,520 = 4,620.96/x
  3. Step 3: Cross multiply
    7,679.52x = 11,520 × 4,620.96
  4. Step 4: Simplify right side
    7,679.52x = 53,233,459.20
  5. Step 5: Solve for x
    x = 53,233,459.20/7,679.52
  6. Step 6: Final answer
    x = 6,931.87

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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.