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Finding the Fourth Proportional to 2,999.62, 4,138.86 and 2,204.20

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Solution

The fourth proportional to 2,999.62, 4,138.86 and 2,204.20 is: 3,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.62 : 4,138.86 = 2,204.20 : x
  2. Step 2: Convert to fraction form
    2,999.62/4,138.86 = 2,204.20/x
  3. Step 3: Cross multiply
    2,999.62x = 4,138.86 × 2,204.20
  4. Step 4: Simplify right side
    2,999.62x = 9,122,875.21
  5. Step 5: Solve for x
    x = 9,122,875.21/2,999.62
  6. Step 6: Final answer
    x = 3,041.34

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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.