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Finding the Fourth Proportional to 6,805.01, 9,384 and 6,408.15

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Solution

The fourth proportional to 6,805.01, 9,384 and 6,408.15 is: 8,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.01 : 9,384 = 6,408.15 : x
  2. Step 2: Convert to fraction form
    6,805.01/9,384 = 6,408.15/x
  3. Step 3: Cross multiply
    6,805.01x = 9,384 × 6,408.15
  4. Step 4: Simplify right side
    6,805.01x = 60,134,079.60
  5. Step 5: Solve for x
    x = 60,134,079.60/6,805.01
  6. Step 6: Final answer
    x = 8,836.74

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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.