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Finding the Fourth Proportional to 1,377.88, 1,896.62 and 1,202.92

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Solution

The fourth proportional to 1,377.88, 1,896.62 and 1,202.92 is: 1,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.88 : 1,896.62 = 1,202.92 : x
  2. Step 2: Convert to fraction form
    1,377.88/1,896.62 = 1,202.92/x
  3. Step 3: Cross multiply
    1,377.88x = 1,896.62 × 1,202.92
  4. Step 4: Simplify right side
    1,377.88x = 2,281,482.13
  5. Step 5: Solve for x
    x = 2,281,482.13/1,377.88
  6. Step 6: Final answer
    x = 1,655.79

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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.