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Finding the Fourth Proportional to 2,391.44, 3,585.11 and 909.83

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Solution

The fourth proportional to 2,391.44, 3,585.11 and 909.83 is: 1,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.44 : 3,585.11 = 909.83 : x
  2. Step 2: Convert to fraction form
    2,391.44/3,585.11 = 909.83/x
  3. Step 3: Cross multiply
    2,391.44x = 3,585.11 × 909.83
  4. Step 4: Simplify right side
    2,391.44x = 3,261,818.16
  5. Step 5: Solve for x
    x = 3,261,818.16/2,391.44
  6. Step 6: Final answer
    x = 1,363.96

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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.