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Finding the Fourth Proportional to 2,117.38, 3,176.08 and 656.54

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Solution

The fourth proportional to 2,117.38, 3,176.08 and 656.54 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.38 : 3,176.08 = 656.54 : x
  2. Step 2: Convert to fraction form
    2,117.38/3,176.08 = 656.54/x
  3. Step 3: Cross multiply
    2,117.38x = 3,176.08 × 656.54
  4. Step 4: Simplify right side
    2,117.38x = 2,085,223.56
  5. Step 5: Solve for x
    x = 2,085,223.56/2,117.38
  6. Step 6: Final answer
    x = 984.81

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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.