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Finding the Fourth Proportional to 3,868.36, 5,343 and 3,350.80

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Solution

The fourth proportional to 3,868.36, 5,343 and 3,350.80 is: 4,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.36 : 5,343 = 3,350.80 : x
  2. Step 2: Convert to fraction form
    3,868.36/5,343 = 3,350.80/x
  3. Step 3: Cross multiply
    3,868.36x = 5,343 × 3,350.80
  4. Step 4: Simplify right side
    3,868.36x = 17,903,324.40
  5. Step 5: Solve for x
    x = 17,903,324.40/3,868.36
  6. Step 6: Final answer
    x = 4,628.14

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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.