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Finding the Fourth Proportional to 2,441.36, 3,661.99 and 686.39

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Solution

The fourth proportional to 2,441.36, 3,661.99 and 686.39 is: 1,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.36 : 3,661.99 = 686.39 : x
  2. Step 2: Convert to fraction form
    2,441.36/3,661.99 = 686.39/x
  3. Step 3: Cross multiply
    2,441.36x = 3,661.99 × 686.39
  4. Step 4: Simplify right side
    2,441.36x = 2,513,533.29
  5. Step 5: Solve for x
    x = 2,513,533.29/2,441.36
  6. Step 6: Final answer
    x = 1,029.56

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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.