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Finding the Fourth Proportional to 6,389.80, 8,814 and 4,498.04

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Solution

The fourth proportional to 6,389.80, 8,814 and 4,498.04 is: 6,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.80 : 8,814 = 4,498.04 : x
  2. Step 2: Convert to fraction form
    6,389.80/8,814 = 4,498.04/x
  3. Step 3: Cross multiply
    6,389.80x = 8,814 × 4,498.04
  4. Step 4: Simplify right side
    6,389.80x = 39,645,724.56
  5. Step 5: Solve for x
    x = 39,645,724.56/6,389.80
  6. Step 6: Final answer
    x = 6,204.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.