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Finding the Fourth Proportional to 7,705.80, 11,560.32 and 2,511

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Solution

The fourth proportional to 7,705.80, 11,560.32 and 2,511 is: 3,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.80 : 11,560.32 = 2,511 : x
  2. Step 2: Convert to fraction form
    7,705.80/11,560.32 = 2,511/x
  3. Step 3: Cross multiply
    7,705.80x = 11,560.32 × 2,511
  4. Step 4: Simplify right side
    7,705.80x = 29,027,963.52
  5. Step 5: Solve for x
    x = 29,027,963.52/7,705.80
  6. Step 6: Final answer
    x = 3,767.03

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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.