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Finding the Fourth Proportional to 3,729.68, 5,146.08 and 3,582.08

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Solution

The fourth proportional to 3,729.68, 5,146.08 and 3,582.08 is: 4,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.68 : 5,146.08 = 3,582.08 : x
  2. Step 2: Convert to fraction form
    3,729.68/5,146.08 = 3,582.08/x
  3. Step 3: Cross multiply
    3,729.68x = 5,146.08 × 3,582.08
  4. Step 4: Simplify right side
    3,729.68x = 18,433,670.25
  5. Step 5: Solve for x
    x = 18,433,670.25/3,729.68
  6. Step 6: Final answer
    x = 4,942.43

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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.