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Finding the Fourth Proportional to 1,103.09, 1,518.48 and 961.20

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Solution

The fourth proportional to 1,103.09, 1,518.48 and 961.20 is: 1,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.09 : 1,518.48 = 961.20 : x
  2. Step 2: Convert to fraction form
    1,103.09/1,518.48 = 961.20/x
  3. Step 3: Cross multiply
    1,103.09x = 1,518.48 × 961.20
  4. Step 4: Simplify right side
    1,103.09x = 1,459,562.98
  5. Step 5: Solve for x
    x = 1,459,562.98/1,103.09
  6. Step 6: Final answer
    x = 1,323.16

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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.