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Finding the Fourth Proportional to 3,800.40, 5,253.30 and 3,494.22

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Solution

The fourth proportional to 3,800.40, 5,253.30 and 3,494.22 is: 4,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.40 : 5,253.30 = 3,494.22 : x
  2. Step 2: Convert to fraction form
    3,800.40/5,253.30 = 3,494.22/x
  3. Step 3: Cross multiply
    3,800.40x = 5,253.30 × 3,494.22
  4. Step 4: Simplify right side
    3,800.40x = 18,356,185.93
  5. Step 5: Solve for x
    x = 18,356,185.93/3,800.40
  6. Step 6: Final answer
    x = 4,830.07

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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.