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Finding the Fourth Proportional to 2,126.76, 3,191.14 and 956.64

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Solution

The fourth proportional to 2,126.76, 3,191.14 and 956.64 is: 1,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.76 : 3,191.14 = 956.64 : x
  2. Step 2: Convert to fraction form
    2,126.76/3,191.14 = 956.64/x
  3. Step 3: Cross multiply
    2,126.76x = 3,191.14 × 956.64
  4. Step 4: Simplify right side
    2,126.76x = 3,052,772.17
  5. Step 5: Solve for x
    x = 3,052,772.17/2,126.76
  6. Step 6: Final answer
    x = 1,435.41

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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.