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Finding the Fourth Proportional to 6,629.84, 9,149.10 and 3,978.74

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Solution

The fourth proportional to 6,629.84, 9,149.10 and 3,978.74 is: 5,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.84 : 9,149.10 = 3,978.74 : x
  2. Step 2: Convert to fraction form
    6,629.84/9,149.10 = 3,978.74/x
  3. Step 3: Cross multiply
    6,629.84x = 9,149.10 × 3,978.74
  4. Step 4: Simplify right side
    6,629.84x = 36,401,844.39
  5. Step 5: Solve for x
    x = 36,401,844.39/6,629.84
  6. Step 6: Final answer
    x = 5,490.61

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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.