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Finding the Fourth Proportional to 1,347.06, 2,011.92 and 1,100.82

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Solution

The fourth proportional to 1,347.06, 2,011.92 and 1,100.82 is: 1,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.06 : 2,011.92 = 1,100.82 : x
  2. Step 2: Convert to fraction form
    1,347.06/2,011.92 = 1,100.82/x
  3. Step 3: Cross multiply
    1,347.06x = 2,011.92 × 1,100.82
  4. Step 4: Simplify right side
    1,347.06x = 2,214,761.77
  5. Step 5: Solve for x
    x = 2,214,761.77/1,347.06
  6. Step 6: Final answer
    x = 1,644.14

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