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Finding the Fourth Proportional to 1,267.66, 1,892.31 and 1,095.43

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Solution

The fourth proportional to 1,267.66, 1,892.31 and 1,095.43 is: 1,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.66 : 1,892.31 = 1,095.43 : x
  2. Step 2: Convert to fraction form
    1,267.66/1,892.31 = 1,095.43/x
  3. Step 3: Cross multiply
    1,267.66x = 1,892.31 × 1,095.43
  4. Step 4: Simplify right side
    1,267.66x = 2,072,893.14
  5. Step 5: Solve for x
    x = 2,072,893.14/1,267.66
  6. Step 6: Final answer
    x = 1,635.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.