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Finding the Fourth Proportional to 3,859.35, 5,322 and 3,148.92

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Solution

The fourth proportional to 3,859.35, 5,322 and 3,148.92 is: 4,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.35 : 5,322 = 3,148.92 : x
  2. Step 2: Convert to fraction form
    3,859.35/5,322 = 3,148.92/x
  3. Step 3: Cross multiply
    3,859.35x = 5,322 × 3,148.92
  4. Step 4: Simplify right side
    3,859.35x = 16,758,552.24
  5. Step 5: Solve for x
    x = 16,758,552.24/3,859.35
  6. Step 6: Final answer
    x = 4,342.33

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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.