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Finding the Fourth Proportional to 2,126.92, 3,191.26 and 940.34

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Solution

The fourth proportional to 2,126.92, 3,191.26 and 940.34 is: 1,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.92 : 3,191.26 = 940.34 : x
  2. Step 2: Convert to fraction form
    2,126.92/3,191.26 = 940.34/x
  3. Step 3: Cross multiply
    2,126.92x = 3,191.26 × 940.34
  4. Step 4: Simplify right side
    2,126.92x = 3,000,848.77
  5. Step 5: Solve for x
    x = 3,000,848.77/2,126.92
  6. Step 6: Final answer
    x = 1,410.89

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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.