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Finding the Fourth Proportional to 2,507.01, 3,759.90 and 1,119.58

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Solution

The fourth proportional to 2,507.01, 3,759.90 and 1,119.58 is: 1,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.01 : 3,759.90 = 1,119.58 : x
  2. Step 2: Convert to fraction form
    2,507.01/3,759.90 = 1,119.58/x
  3. Step 3: Cross multiply
    2,507.01x = 3,759.90 × 1,119.58
  4. Step 4: Simplify right side
    2,507.01x = 4,209,508.84
  5. Step 5: Solve for x
    x = 4,209,508.84/2,507.01
  6. Step 6: Final answer
    x = 1,679.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.