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Finding the Fourth Proportional to 3,404, 4,697.70 and 2,007.20

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Solution

The fourth proportional to 3,404, 4,697.70 and 2,007.20 is: 2,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404 : 4,697.70 = 2,007.20 : x
  2. Step 2: Convert to fraction form
    3,404/4,697.70 = 2,007.20/x
  3. Step 3: Cross multiply
    3,404x = 4,697.70 × 2,007.20
  4. Step 4: Simplify right side
    3,404x = 9,429,223.44
  5. Step 5: Solve for x
    x = 9,429,223.44/3,404
  6. Step 6: Final answer
    x = 2,770.04

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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.