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Finding the Fourth Proportional to 1,954.25, 2,931.64 and 656.09

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Solution

The fourth proportional to 1,954.25, 2,931.64 and 656.09 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.25 : 2,931.64 = 656.09 : x
  2. Step 2: Convert to fraction form
    1,954.25/2,931.64 = 656.09/x
  3. Step 3: Cross multiply
    1,954.25x = 2,931.64 × 656.09
  4. Step 4: Simplify right side
    1,954.25x = 1,923,403.39
  5. Step 5: Solve for x
    x = 1,923,403.39/1,954.25
  6. Step 6: Final answer
    x = 984.22

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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.