Home / 2,509.27-3,763.96-865.79

Finding the Fourth Proportional to 2,509.27, 3,763.96 and 865.79

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Solution

The fourth proportional to 2,509.27, 3,763.96 and 865.79 is: 1,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.27 : 3,763.96 = 865.79 : x
  2. Step 2: Convert to fraction form
    2,509.27/3,763.96 = 865.79/x
  3. Step 3: Cross multiply
    2,509.27x = 3,763.96 × 865.79
  4. Step 4: Simplify right side
    2,509.27x = 3,258,798.93
  5. Step 5: Solve for x
    x = 3,258,798.93/2,509.27
  6. Step 6: Final answer
    x = 1,298.70

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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.