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Finding the Fourth Proportional to 1,279.56, 1,910.01 and 1,098.12

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Solution

The fourth proportional to 1,279.56, 1,910.01 and 1,098.12 is: 1,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.56 : 1,910.01 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    1,279.56/1,910.01 = 1,098.12/x
  3. Step 3: Cross multiply
    1,279.56x = 1,910.01 × 1,098.12
  4. Step 4: Simplify right side
    1,279.56x = 2,097,420.18
  5. Step 5: Solve for x
    x = 2,097,420.18/1,279.56
  6. Step 6: Final answer
    x = 1,639.17

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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.