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Finding the Fourth Proportional to 2,147.06, 3,218.70 and 914.24

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Solution

The fourth proportional to 2,147.06, 3,218.70 and 914.24 is: 1,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.06 : 3,218.70 = 914.24 : x
  2. Step 2: Convert to fraction form
    2,147.06/3,218.70 = 914.24/x
  3. Step 3: Cross multiply
    2,147.06x = 3,218.70 × 914.24
  4. Step 4: Simplify right side
    2,147.06x = 2,942,664.29
  5. Step 5: Solve for x
    x = 2,942,664.29/2,147.06
  6. Step 6: Final answer
    x = 1,370.56

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1.5x scale

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.