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Finding the Fourth Proportional to 2,284.12, 3,158.22 and 2,179

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Solution

The fourth proportional to 2,284.12, 3,158.22 and 2,179 is: 3,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.12 : 3,158.22 = 2,179 : x
  2. Step 2: Convert to fraction form
    2,284.12/3,158.22 = 2,179/x
  3. Step 3: Cross multiply
    2,284.12x = 3,158.22 × 2,179
  4. Step 4: Simplify right side
    2,284.12x = 6,881,761.38
  5. Step 5: Solve for x
    x = 6,881,761.38/2,284.12
  6. Step 6: Final answer
    x = 3,012.87

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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.