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Finding the Fourth Proportional to 2,141.53, 2,954.81 and 1,611.70

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Solution

The fourth proportional to 2,141.53, 2,954.81 and 1,611.70 is: 2,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.53 : 2,954.81 = 1,611.70 : x
  2. Step 2: Convert to fraction form
    2,141.53/2,954.81 = 1,611.70/x
  3. Step 3: Cross multiply
    2,141.53x = 2,954.81 × 1,611.70
  4. Step 4: Simplify right side
    2,141.53x = 4,762,244.44
  5. Step 5: Solve for x
    x = 4,762,244.44/2,141.53
  6. Step 6: Final answer
    x = 2,223.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.