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Finding the Fourth Proportional to 3,978.90, 5,491.13 and 2,210.49

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Solution

The fourth proportional to 3,978.90, 5,491.13 and 2,210.49 is: 3,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.90 : 5,491.13 = 2,210.49 : x
  2. Step 2: Convert to fraction form
    3,978.90/5,491.13 = 2,210.49/x
  3. Step 3: Cross multiply
    3,978.90x = 5,491.13 × 2,210.49
  4. Step 4: Simplify right side
    3,978.90x = 12,138,076.90
  5. Step 5: Solve for x
    x = 12,138,076.90/3,978.90
  6. Step 6: Final answer
    x = 3,050.61

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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.