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Finding the Fourth Proportional to 6,408.50, 9,605.21 and 2,894.40

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Solution

The fourth proportional to 6,408.50, 9,605.21 and 2,894.40 is: 4,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.50 : 9,605.21 = 2,894.40 : x
  2. Step 2: Convert to fraction form
    6,408.50/9,605.21 = 2,894.40/x
  3. Step 3: Cross multiply
    6,408.50x = 9,605.21 × 2,894.40
  4. Step 4: Simplify right side
    6,408.50x = 27,801,305.35
  5. Step 5: Solve for x
    x = 27,801,305.35/6,408.50
  6. Step 6: Final answer
    x = 4,338.19

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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.