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Finding the Fourth Proportional to 8,821.91, 13,223.63 and 6,478.43

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Solution

The fourth proportional to 8,821.91, 13,223.63 and 6,478.43 is: 9,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.91 : 13,223.63 = 6,478.43 : x
  2. Step 2: Convert to fraction form
    8,821.91/13,223.63 = 6,478.43/x
  3. Step 3: Cross multiply
    8,821.91x = 13,223.63 × 6,478.43
  4. Step 4: Simplify right side
    8,821.91x = 85,668,262.79
  5. Step 5: Solve for x
    x = 85,668,262.79/8,821.91
  6. Step 6: Final answer
    x = 9,710.86

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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.