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Finding the Fourth Proportional to 2,126.78, 3,189.96 and 665.89

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Solution

The fourth proportional to 2,126.78, 3,189.96 and 665.89 is: 998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.78 : 3,189.96 = 665.89 : x
  2. Step 2: Convert to fraction form
    2,126.78/3,189.96 = 665.89/x
  3. Step 3: Cross multiply
    2,126.78x = 3,189.96 × 665.89
  4. Step 4: Simplify right side
    2,126.78x = 2,124,162.46
  5. Step 5: Solve for x
    x = 2,124,162.46/2,126.78
  6. Step 6: Final answer
    x = 998.77

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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.