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Finding the Fourth Proportional to 2,126.65, 3,189.96 and 665.80

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Solution

The fourth proportional to 2,126.65, 3,189.96 and 665.80 is: 998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.65 : 3,189.96 = 665.80 : x
  2. Step 2: Convert to fraction form
    2,126.65/3,189.96 = 665.80/x
  3. Step 3: Cross multiply
    2,126.65x = 3,189.96 × 665.80
  4. Step 4: Simplify right side
    2,126.65x = 2,123,875.37
  5. Step 5: Solve for x
    x = 2,123,875.37/2,126.65
  6. Step 6: Final answer
    x = 998.70

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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.