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Finding the Fourth Proportional to 6,649.46, 9,971.85 and 3,646.89

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Solution

The fourth proportional to 6,649.46, 9,971.85 and 3,646.89 is: 5,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.46 : 9,971.85 = 3,646.89 : x
  2. Step 2: Convert to fraction form
    6,649.46/9,971.85 = 3,646.89/x
  3. Step 3: Cross multiply
    6,649.46x = 9,971.85 × 3,646.89
  4. Step 4: Simplify right side
    6,649.46x = 36,366,240.05
  5. Step 5: Solve for x
    x = 36,366,240.05/6,649.46
  6. Step 6: Final answer
    x = 5,469.05

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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.