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Finding the Fourth Proportional to 2,326.87, 3,489.62 and 865.67

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Solution

The fourth proportional to 2,326.87, 3,489.62 and 865.67 is: 1,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.87 : 3,489.62 = 865.67 : x
  2. Step 2: Convert to fraction form
    2,326.87/3,489.62 = 865.67/x
  3. Step 3: Cross multiply
    2,326.87x = 3,489.62 × 865.67
  4. Step 4: Simplify right side
    2,326.87x = 3,020,859.35
  5. Step 5: Solve for x
    x = 3,020,859.35/2,326.87
  6. Step 6: Final answer
    x = 1,298.25

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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.