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Finding the Fourth Proportional to 7,695.72, 11,531.16 and 3,992.40

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Solution

The fourth proportional to 7,695.72, 11,531.16 and 3,992.40 is: 5,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.72 : 11,531.16 = 3,992.40 : x
  2. Step 2: Convert to fraction form
    7,695.72/11,531.16 = 3,992.40/x
  3. Step 3: Cross multiply
    7,695.72x = 11,531.16 × 3,992.40
  4. Step 4: Simplify right side
    7,695.72x = 46,037,003.18
  5. Step 5: Solve for x
    x = 46,037,003.18/7,695.72
  6. Step 6: Final answer
    x = 5,982.16

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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.