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Finding the Fourth Proportional to 3,443.76, 4,749.60 and 3,000.90

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Solution

The fourth proportional to 3,443.76, 4,749.60 and 3,000.90 is: 4,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.76 : 4,749.60 = 3,000.90 : x
  2. Step 2: Convert to fraction form
    3,443.76/4,749.60 = 3,000.90/x
  3. Step 3: Cross multiply
    3,443.76x = 4,749.60 × 3,000.90
  4. Step 4: Simplify right side
    3,443.76x = 14,253,074.64
  5. Step 5: Solve for x
    x = 14,253,074.64/3,443.76
  6. Step 6: Final answer
    x = 4,138.81

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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.