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Finding the Fourth Proportional to 3,764.37, 5,646.74 and 1,818.21

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Solution

The fourth proportional to 3,764.37, 5,646.74 and 1,818.21 is: 2,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.37 : 5,646.74 = 1,818.21 : x
  2. Step 2: Convert to fraction form
    3,764.37/5,646.74 = 1,818.21/x
  3. Step 3: Cross multiply
    3,764.37x = 5,646.74 × 1,818.21
  4. Step 4: Simplify right side
    3,764.37x = 10,266,950.04
  5. Step 5: Solve for x
    x = 10,266,950.04/3,764.37
  6. Step 6: Final answer
    x = 2,727.40

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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.