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Finding the Fourth Proportional to 7,844.10, 11,770.77 and 2,917.17

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Solution

The fourth proportional to 7,844.10, 11,770.77 and 2,917.17 is: 4,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.10 : 11,770.77 = 2,917.17 : x
  2. Step 2: Convert to fraction form
    7,844.10/11,770.77 = 2,917.17/x
  3. Step 3: Cross multiply
    7,844.10x = 11,770.77 × 2,917.17
  4. Step 4: Simplify right side
    7,844.10x = 34,337,337.12
  5. Step 5: Solve for x
    x = 34,337,337.12/7,844.10
  6. Step 6: Final answer
    x = 4,377.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.