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Finding the Fourth Proportional to 1,902.76, 2,622.37 and 1,377.88

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Solution

The fourth proportional to 1,902.76, 2,622.37 and 1,377.88 is: 1,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.76 : 2,622.37 = 1,377.88 : x
  2. Step 2: Convert to fraction form
    1,902.76/2,622.37 = 1,377.88/x
  3. Step 3: Cross multiply
    1,902.76x = 2,622.37 × 1,377.88
  4. Step 4: Simplify right side
    1,902.76x = 3,613,311.18
  5. Step 5: Solve for x
    x = 3,613,311.18/1,902.76
  6. Step 6: Final answer
    x = 1,898.98

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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.