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Finding the Fourth Proportional to 1,414.72, 2,122.56 and 1,242.88

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Solution

The fourth proportional to 1,414.72, 2,122.56 and 1,242.88 is: 1,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.72 : 2,122.56 = 1,242.88 : x
  2. Step 2: Convert to fraction form
    1,414.72/2,122.56 = 1,242.88/x
  3. Step 3: Cross multiply
    1,414.72x = 2,122.56 × 1,242.88
  4. Step 4: Simplify right side
    1,414.72x = 2,638,087.37
  5. Step 5: Solve for x
    x = 2,638,087.37/1,414.72
  6. Step 6: Final answer
    x = 1,864.74

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