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Finding the Fourth Proportional to 7,705.72, 11,553.72 and 3,320.92

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Solution

The fourth proportional to 7,705.72, 11,553.72 and 3,320.92 is: 4,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.72 : 11,553.72 = 3,320.92 : x
  2. Step 2: Convert to fraction form
    7,705.72/11,553.72 = 3,320.92/x
  3. Step 3: Cross multiply
    7,705.72x = 11,553.72 × 3,320.92
  4. Step 4: Simplify right side
    7,705.72x = 38,368,979.82
  5. Step 5: Solve for x
    x = 38,368,979.82/7,705.72
  6. Step 6: Final answer
    x = 4,979.29

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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.