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Finding the Fourth Proportional to 2,184.79, 3,278.55 and 886.26

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Solution

The fourth proportional to 2,184.79, 3,278.55 and 886.26 is: 1,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.79 : 3,278.55 = 886.26 : x
  2. Step 2: Convert to fraction form
    2,184.79/3,278.55 = 886.26/x
  3. Step 3: Cross multiply
    2,184.79x = 3,278.55 × 886.26
  4. Step 4: Simplify right side
    2,184.79x = 2,905,626.90
  5. Step 5: Solve for x
    x = 2,905,626.90/2,184.79
  6. Step 6: Final answer
    x = 1,329.94

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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.