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Finding the Fourth Proportional to 3,924.09, 5,878.04 and 3,145.41

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Solution

The fourth proportional to 3,924.09, 5,878.04 and 3,145.41 is: 4,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.09 : 5,878.04 = 3,145.41 : x
  2. Step 2: Convert to fraction form
    3,924.09/5,878.04 = 3,145.41/x
  3. Step 3: Cross multiply
    3,924.09x = 5,878.04 × 3,145.41
  4. Step 4: Simplify right side
    3,924.09x = 18,488,830.07
  5. Step 5: Solve for x
    x = 18,488,830.07/3,924.09
  6. Step 6: Final answer
    x = 4,711.62

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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.