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Finding the Fourth Proportional to 2,841.42, 4,229.02 and 2,814.06

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Solution

The fourth proportional to 2,841.42, 4,229.02 and 2,814.06 is: 4,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.42 : 4,229.02 = 2,814.06 : x
  2. Step 2: Convert to fraction form
    2,841.42/4,229.02 = 2,814.06/x
  3. Step 3: Cross multiply
    2,841.42x = 4,229.02 × 2,814.06
  4. Step 4: Simplify right side
    2,841.42x = 11,900,716.02
  5. Step 5: Solve for x
    x = 11,900,716.02/2,841.42
  6. Step 6: Final answer
    x = 4,188.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.