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Finding the Fourth Proportional to 2,605.35, 3,913.47 and 2,215.29

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Solution

The fourth proportional to 2,605.35, 3,913.47 and 2,215.29 is: 3,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.35 : 3,913.47 = 2,215.29 : x
  2. Step 2: Convert to fraction form
    2,605.35/3,913.47 = 2,215.29/x
  3. Step 3: Cross multiply
    2,605.35x = 3,913.47 × 2,215.29
  4. Step 4: Simplify right side
    2,605.35x = 8,669,470.96
  5. Step 5: Solve for x
    x = 8,669,470.96/2,605.35
  6. Step 6: Final answer
    x = 3,327.56

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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.