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Finding the Fourth Proportional to 1,801.34, 2,697.81 and 1,387.19

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Solution

The fourth proportional to 1,801.34, 2,697.81 and 1,387.19 is: 2,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.34 : 2,697.81 = 1,387.19 : x
  2. Step 2: Convert to fraction form
    1,801.34/2,697.81 = 1,387.19/x
  3. Step 3: Cross multiply
    1,801.34x = 2,697.81 × 1,387.19
  4. Step 4: Simplify right side
    1,801.34x = 3,742,375.05
  5. Step 5: Solve for x
    x = 3,742,375.05/1,801.34
  6. Step 6: Final answer
    x = 2,077.55

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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.