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Finding the Fourth Proportional to 2,805.96, 4,211.04 and 2,264.64

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Solution

The fourth proportional to 2,805.96, 4,211.04 and 2,264.64 is: 3,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.96 : 4,211.04 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    2,805.96/4,211.04 = 2,264.64/x
  3. Step 3: Cross multiply
    2,805.96x = 4,211.04 × 2,264.64
  4. Step 4: Simplify right side
    2,805.96x = 9,536,489.63
  5. Step 5: Solve for x
    x = 9,536,489.63/2,805.96
  6. Step 6: Final answer
    x = 3,398.65

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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.