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Finding the Fourth Proportional to 2,174.51, 3,261.76 and 614.54

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Solution

The fourth proportional to 2,174.51, 3,261.76 and 614.54 is: 921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.51 : 3,261.76 = 614.54 : x
  2. Step 2: Convert to fraction form
    2,174.51/3,261.76 = 614.54/x
  3. Step 3: Cross multiply
    2,174.51x = 3,261.76 × 614.54
  4. Step 4: Simplify right side
    2,174.51x = 2,004,462.61
  5. Step 5: Solve for x
    x = 2,004,462.61/2,174.51
  6. Step 6: Final answer
    x = 921.80

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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.