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Finding the Fourth Proportional to 3,920.84, 5,880.96 and 1,729.58

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Solution

The fourth proportional to 3,920.84, 5,880.96 and 1,729.58 is: 2,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.84 : 5,880.96 = 1,729.58 : x
  2. Step 2: Convert to fraction form
    3,920.84/5,880.96 = 1,729.58/x
  3. Step 3: Cross multiply
    3,920.84x = 5,880.96 × 1,729.58
  4. Step 4: Simplify right side
    3,920.84x = 10,171,590.80
  5. Step 5: Solve for x
    x = 10,171,590.80/3,920.84
  6. Step 6: Final answer
    x = 2,594.24

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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.