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Finding the Fourth Proportional to 2,102.73, 2,900.19 and 1,393.32

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Solution

The fourth proportional to 2,102.73, 2,900.19 and 1,393.32 is: 1,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.73 : 2,900.19 = 1,393.32 : x
  2. Step 2: Convert to fraction form
    2,102.73/2,900.19 = 1,393.32/x
  3. Step 3: Cross multiply
    2,102.73x = 2,900.19 × 1,393.32
  4. Step 4: Simplify right side
    2,102.73x = 4,040,892.73
  5. Step 5: Solve for x
    x = 4,040,892.73/2,102.73
  6. Step 6: Final answer
    x = 1,921.74

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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.