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Finding the Fourth Proportional to 6,408.68, 8,841.60 and 4,314.20

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Solution

The fourth proportional to 6,408.68, 8,841.60 and 4,314.20 is: 5,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.68 : 8,841.60 = 4,314.20 : x
  2. Step 2: Convert to fraction form
    6,408.68/8,841.60 = 4,314.20/x
  3. Step 3: Cross multiply
    6,408.68x = 8,841.60 × 4,314.20
  4. Step 4: Simplify right side
    6,408.68x = 38,144,430.72
  5. Step 5: Solve for x
    x = 38,144,430.72/6,408.68
  6. Step 6: Final answer
    x = 5,951.99

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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.