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Finding the Fourth Proportional to 1,410.50, 2,114.03 and 1,062.72

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Solution

The fourth proportional to 1,410.50, 2,114.03 and 1,062.72 is: 1,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.50 : 2,114.03 = 1,062.72 : x
  2. Step 2: Convert to fraction form
    1,410.50/2,114.03 = 1,062.72/x
  3. Step 3: Cross multiply
    1,410.50x = 2,114.03 × 1,062.72
  4. Step 4: Simplify right side
    1,410.50x = 2,246,624.62
  5. Step 5: Solve for x
    x = 2,246,624.62/1,410.50
  6. Step 6: Final answer
    x = 1,592.78

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Why These Related Problems?

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