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Finding the Fourth Proportional to 6,478.86, 9,717.21 and 2,582.22

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Solution

The fourth proportional to 6,478.86, 9,717.21 and 2,582.22 is: 3,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.86 : 9,717.21 = 2,582.22 : x
  2. Step 2: Convert to fraction form
    6,478.86/9,717.21 = 2,582.22/x
  3. Step 3: Cross multiply
    6,478.86x = 9,717.21 × 2,582.22
  4. Step 4: Simplify right side
    6,478.86x = 25,091,974.01
  5. Step 5: Solve for x
    x = 25,091,974.01/6,478.86
  6. Step 6: Final answer
    x = 3,872.90

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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.