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Finding the Fourth Proportional to 2,614.82, 3,922.22 and 927.47

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Solution

The fourth proportional to 2,614.82, 3,922.22 and 927.47 is: 1,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.82 : 3,922.22 = 927.47 : x
  2. Step 2: Convert to fraction form
    2,614.82/3,922.22 = 927.47/x
  3. Step 3: Cross multiply
    2,614.82x = 3,922.22 × 927.47
  4. Step 4: Simplify right side
    2,614.82x = 3,637,717.13
  5. Step 5: Solve for x
    x = 3,637,717.13/2,614.82
  6. Step 6: Final answer
    x = 1,391.19

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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.