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Finding the Fourth Proportional to 5,751.30, 8,620.47 and 2,831.66

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Solution

The fourth proportional to 5,751.30, 8,620.47 and 2,831.66 is: 4,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.30 : 8,620.47 = 2,831.66 : x
  2. Step 2: Convert to fraction form
    5,751.30/8,620.47 = 2,831.66/x
  3. Step 3: Cross multiply
    5,751.30x = 8,620.47 × 2,831.66
  4. Step 4: Simplify right side
    5,751.30x = 24,410,182.82
  5. Step 5: Solve for x
    x = 24,410,182.82/5,751.30
  6. Step 6: Final answer
    x = 4,244.29

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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.