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Finding the Fourth Proportional to 2,000.22, 2,998.31 and 958.70

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Solution

The fourth proportional to 2,000.22, 2,998.31 and 958.70 is: 1,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.22 : 2,998.31 = 958.70 : x
  2. Step 2: Convert to fraction form
    2,000.22/2,998.31 = 958.70/x
  3. Step 3: Cross multiply
    2,000.22x = 2,998.31 × 958.70
  4. Step 4: Simplify right side
    2,000.22x = 2,874,460.01
  5. Step 5: Solve for x
    x = 2,874,460.01/2,000.22
  6. Step 6: Final answer
    x = 1,437.07

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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.