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Finding the Fourth Proportional to 2,668.02, 4,001.81 and 1,282.47

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Solution

The fourth proportional to 2,668.02, 4,001.81 and 1,282.47 is: 1,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.02 : 4,001.81 = 1,282.47 : x
  2. Step 2: Convert to fraction form
    2,668.02/4,001.81 = 1,282.47/x
  3. Step 3: Cross multiply
    2,668.02x = 4,001.81 × 1,282.47
  4. Step 4: Simplify right side
    2,668.02x = 5,132,194.86
  5. Step 5: Solve for x
    x = 5,132,194.86/2,668.02
  6. Step 6: Final answer
    x = 1,923.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.