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Finding the Fourth Proportional to 4,330, 6,494.92 and 1,408.96

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Solution

The fourth proportional to 4,330, 6,494.92 and 1,408.96 is: 2,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330 : 6,494.92 = 1,408.96 : x
  2. Step 2: Convert to fraction form
    4,330/6,494.92 = 1,408.96/x
  3. Step 3: Cross multiply
    4,330x = 6,494.92 × 1,408.96
  4. Step 4: Simplify right side
    4,330x = 9,151,082.48
  5. Step 5: Solve for x
    x = 9,151,082.48/4,330
  6. Step 6: Final answer
    x = 2,113.41

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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.