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Finding the Fourth Proportional to 2,339.12, 3,508.07 and 695.27

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Solution

The fourth proportional to 2,339.12, 3,508.07 and 695.27 is: 1,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.12 : 3,508.07 = 695.27 : x
  2. Step 2: Convert to fraction form
    2,339.12/3,508.07 = 695.27/x
  3. Step 3: Cross multiply
    2,339.12x = 3,508.07 × 695.27
  4. Step 4: Simplify right side
    2,339.12x = 2,439,034.81
  5. Step 5: Solve for x
    x = 2,439,034.81/2,339.12
  6. Step 6: Final answer
    x = 1,042.72

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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.