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Finding the Fourth Proportional to 1,103.44, 1,511.73 and 1,061.93

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Solution

The fourth proportional to 1,103.44, 1,511.73 and 1,061.93 is: 1,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.44 : 1,511.73 = 1,061.93 : x
  2. Step 2: Convert to fraction form
    1,103.44/1,511.73 = 1,061.93/x
  3. Step 3: Cross multiply
    1,103.44x = 1,511.73 × 1,061.93
  4. Step 4: Simplify right side
    1,103.44x = 1,605,346.13
  5. Step 5: Solve for x
    x = 1,605,346.13/1,103.44
  6. Step 6: Final answer
    x = 1,454.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.