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Finding the Fourth Proportional to 2,616.54, 3,924.81 and 886.38

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Solution

The fourth proportional to 2,616.54, 3,924.81 and 886.38 is: 1,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.54 : 3,924.81 = 886.38 : x
  2. Step 2: Convert to fraction form
    2,616.54/3,924.81 = 886.38/x
  3. Step 3: Cross multiply
    2,616.54x = 3,924.81 × 886.38
  4. Step 4: Simplify right side
    2,616.54x = 3,478,873.09
  5. Step 5: Solve for x
    x = 3,478,873.09/2,616.54
  6. Step 6: Final answer
    x = 1,329.57

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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.