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Finding the Fourth Proportional to 6,408.64, 8,839.05 and 4,422.52

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Solution

The fourth proportional to 6,408.64, 8,839.05 and 4,422.52 is: 6,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.64 : 8,839.05 = 4,422.52 : x
  2. Step 2: Convert to fraction form
    6,408.64/8,839.05 = 4,422.52/x
  3. Step 3: Cross multiply
    6,408.64x = 8,839.05 × 4,422.52
  4. Step 4: Simplify right side
    6,408.64x = 39,090,875.41
  5. Step 5: Solve for x
    x = 39,090,875.41/6,408.64
  6. Step 6: Final answer
    x = 6,099.71

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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.