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Finding the Fourth Proportional to 2,614.37, 3,923.09 and 972.06

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Solution

The fourth proportional to 2,614.37, 3,923.09 and 972.06 is: 1,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.37 : 3,923.09 = 972.06 : x
  2. Step 2: Convert to fraction form
    2,614.37/3,923.09 = 972.06/x
  3. Step 3: Cross multiply
    2,614.37x = 3,923.09 × 972.06
  4. Step 4: Simplify right side
    2,614.37x = 3,813,462.94
  5. Step 5: Solve for x
    x = 3,813,462.94/2,614.37
  6. Step 6: Final answer
    x = 1,458.66

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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.