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Finding the Fourth Proportional to 1,209.92, 1,668 and 1,110.08

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Solution

The fourth proportional to 1,209.92, 1,668 and 1,110.08 is: 1,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.92 : 1,668 = 1,110.08 : x
  2. Step 2: Convert to fraction form
    1,209.92/1,668 = 1,110.08/x
  3. Step 3: Cross multiply
    1,209.92x = 1,668 × 1,110.08
  4. Step 4: Simplify right side
    1,209.92x = 1,851,613.44
  5. Step 5: Solve for x
    x = 1,851,613.44/1,209.92
  6. Step 6: Final answer
    x = 1,530.36

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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.