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Finding the Fourth Proportional to 2,616.35, 3,924.54 and 886.19

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Solution

The fourth proportional to 2,616.35, 3,924.54 and 886.19 is: 1,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.35 : 3,924.54 = 886.19 : x
  2. Step 2: Convert to fraction form
    2,616.35/3,924.54 = 886.19/x
  3. Step 3: Cross multiply
    2,616.35x = 3,924.54 × 886.19
  4. Step 4: Simplify right side
    2,616.35x = 3,477,868.48
  5. Step 5: Solve for x
    x = 3,477,868.48/2,616.35
  6. Step 6: Final answer
    x = 1,329.29

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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.