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Finding the Fourth Proportional to 6,447.41, 9,671.63 and 2,749.67

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Solution

The fourth proportional to 6,447.41, 9,671.63 and 2,749.67 is: 4,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.41 : 9,671.63 = 2,749.67 : x
  2. Step 2: Convert to fraction form
    6,447.41/9,671.63 = 2,749.67/x
  3. Step 3: Cross multiply
    6,447.41x = 9,671.63 × 2,749.67
  4. Step 4: Simplify right side
    6,447.41x = 26,593,765.02
  5. Step 5: Solve for x
    x = 26,593,765.02/6,447.41
  6. Step 6: Final answer
    x = 4,124.72

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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.