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Finding the Fourth Proportional to 2,668.74, 4,002.64 and 1,207.55

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Solution

The fourth proportional to 2,668.74, 4,002.64 and 1,207.55 is: 1,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.74 : 4,002.64 = 1,207.55 : x
  2. Step 2: Convert to fraction form
    2,668.74/4,002.64 = 1,207.55/x
  3. Step 3: Cross multiply
    2,668.74x = 4,002.64 × 1,207.55
  4. Step 4: Simplify right side
    2,668.74x = 4,833,387.93
  5. Step 5: Solve for x
    x = 4,833,387.93/2,668.74
  6. Step 6: Final answer
    x = 1,811.11

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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.