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Finding the Fourth Proportional to 8,408.85, 11,591.54 and 6,914.18

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Solution

The fourth proportional to 8,408.85, 11,591.54 and 6,914.18 is: 9,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.85 : 11,591.54 = 6,914.18 : x
  2. Step 2: Convert to fraction form
    8,408.85/11,591.54 = 6,914.18/x
  3. Step 3: Cross multiply
    8,408.85x = 11,591.54 × 6,914.18
  4. Step 4: Simplify right side
    8,408.85x = 80,145,901.51
  5. Step 5: Solve for x
    x = 80,145,901.51/8,408.85
  6. Step 6: Final answer
    x = 9,531.14

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1.5x scale

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.