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Finding the Fourth Proportional to 1,414.72, 1,951.86 and 1,152.28

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Solution

The fourth proportional to 1,414.72, 1,951.86 and 1,152.28 is: 1,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.72 : 1,951.86 = 1,152.28 : x
  2. Step 2: Convert to fraction form
    1,414.72/1,951.86 = 1,152.28/x
  3. Step 3: Cross multiply
    1,414.72x = 1,951.86 × 1,152.28
  4. Step 4: Simplify right side
    1,414.72x = 2,249,089.24
  5. Step 5: Solve for x
    x = 2,249,089.24/1,414.72
  6. Step 6: Final answer
    x = 1,589.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.