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Finding the Fourth Proportional to 1,907.44, 2,630.04 and 1,769.20

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Solution

The fourth proportional to 1,907.44, 2,630.04 and 1,769.20 is: 2,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.44 : 2,630.04 = 1,769.20 : x
  2. Step 2: Convert to fraction form
    1,907.44/2,630.04 = 1,769.20/x
  3. Step 3: Cross multiply
    1,907.44x = 2,630.04 × 1,769.20
  4. Step 4: Simplify right side
    1,907.44x = 4,653,066.77
  5. Step 5: Solve for x
    x = 4,653,066.77/1,907.44
  6. Step 6: Final answer
    x = 2,439.43

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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.