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Finding the Fourth Proportional to 6,408.60, 9,612.90 and 5,315.10

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Solution

The fourth proportional to 6,408.60, 9,612.90 and 5,315.10 is: 7,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.60 : 9,612.90 = 5,315.10 : x
  2. Step 2: Convert to fraction form
    6,408.60/9,612.90 = 5,315.10/x
  3. Step 3: Cross multiply
    6,408.60x = 9,612.90 × 5,315.10
  4. Step 4: Simplify right side
    6,408.60x = 51,093,524.79
  5. Step 5: Solve for x
    x = 51,093,524.79/6,408.60
  6. Step 6: Final answer
    x = 7,972.65

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Double scale
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Similar ratio
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1.5x scale

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.