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Finding the Fourth Proportional to 1,276.67, 1,911.26 and 969.72

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Solution

The fourth proportional to 1,276.67, 1,911.26 and 969.72 is: 1,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.67 : 1,911.26 = 969.72 : x
  2. Step 2: Convert to fraction form
    1,276.67/1,911.26 = 969.72/x
  3. Step 3: Cross multiply
    1,276.67x = 1,911.26 × 969.72
  4. Step 4: Simplify right side
    1,276.67x = 1,853,389.47
  5. Step 5: Solve for x
    x = 1,853,389.47/1,276.67
  6. Step 6: Final answer
    x = 1,451.74

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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.