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Finding the Fourth Proportional to 6,390.88, 9,582.67 and 2,879.53

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Solution

The fourth proportional to 6,390.88, 9,582.67 and 2,879.53 is: 4,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.88 : 9,582.67 = 2,879.53 : x
  2. Step 2: Convert to fraction form
    6,390.88/9,582.67 = 2,879.53/x
  3. Step 3: Cross multiply
    6,390.88x = 9,582.67 × 2,879.53
  4. Step 4: Simplify right side
    6,390.88x = 27,593,585.75
  5. Step 5: Solve for x
    x = 27,593,585.75/6,390.88
  6. Step 6: Final answer
    x = 4,317.65

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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.