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Finding the Fourth Proportional to 3,452.01, 4,763.78 and 1,880.20

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Solution

The fourth proportional to 3,452.01, 4,763.78 and 1,880.20 is: 2,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.01 : 4,763.78 = 1,880.20 : x
  2. Step 2: Convert to fraction form
    3,452.01/4,763.78 = 1,880.20/x
  3. Step 3: Cross multiply
    3,452.01x = 4,763.78 × 1,880.20
  4. Step 4: Simplify right side
    3,452.01x = 8,956,859.16
  5. Step 5: Solve for x
    x = 8,956,859.16/3,452.01
  6. Step 6: Final answer
    x = 2,594.68

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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.