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Finding the Fourth Proportional to 3,854.64, 5,788.32 and 2,124.48

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Solution

The fourth proportional to 3,854.64, 5,788.32 and 2,124.48 is: 3,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.64 : 5,788.32 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    3,854.64/5,788.32 = 2,124.48/x
  3. Step 3: Cross multiply
    3,854.64x = 5,788.32 × 2,124.48
  4. Step 4: Simplify right side
    3,854.64x = 12,297,170.07
  5. Step 5: Solve for x
    x = 12,297,170.07/3,854.64
  6. Step 6: Final answer
    x = 3,190.23

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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.