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Finding the Fourth Proportional to 2,931.73, 4,398.81 and 984.09

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Solution

The fourth proportional to 2,931.73, 4,398.81 and 984.09 is: 1,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.73 : 4,398.81 = 984.09 : x
  2. Step 2: Convert to fraction form
    2,931.73/4,398.81 = 984.09/x
  3. Step 3: Cross multiply
    2,931.73x = 4,398.81 × 984.09
  4. Step 4: Simplify right side
    2,931.73x = 4,328,824.93
  5. Step 5: Solve for x
    x = 4,328,824.93/2,931.73
  6. Step 6: Final answer
    x = 1,476.54

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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.