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Finding the Fourth Proportional to 2,270.94, 3,134.10 and 1,276.46

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Solution

The fourth proportional to 2,270.94, 3,134.10 and 1,276.46 is: 1,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.94 : 3,134.10 = 1,276.46 : x
  2. Step 2: Convert to fraction form
    2,270.94/3,134.10 = 1,276.46/x
  3. Step 3: Cross multiply
    2,270.94x = 3,134.10 × 1,276.46
  4. Step 4: Simplify right side
    2,270.94x = 4,000,561.12
  5. Step 5: Solve for x
    x = 4,000,561.12/2,270.94
  6. Step 6: Final answer
    x = 1,761.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.