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Finding the Fourth Proportional to 3,978.36, 5,490 and 2,210.04

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Solution

The fourth proportional to 3,978.36, 5,490 and 2,210.04 is: 3,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.36 : 5,490 = 2,210.04 : x
  2. Step 2: Convert to fraction form
    3,978.36/5,490 = 2,210.04/x
  3. Step 3: Cross multiply
    3,978.36x = 5,490 × 2,210.04
  4. Step 4: Simplify right side
    3,978.36x = 12,133,119.60
  5. Step 5: Solve for x
    x = 12,133,119.60/3,978.36
  6. Step 6: Final answer
    x = 3,049.78

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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.