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Finding the Fourth Proportional to 2,668.50, 4,002.21 and 1,024.47

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Solution

The fourth proportional to 2,668.50, 4,002.21 and 1,024.47 is: 1,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.50 : 4,002.21 = 1,024.47 : x
  2. Step 2: Convert to fraction form
    2,668.50/4,002.21 = 1,024.47/x
  3. Step 3: Cross multiply
    2,668.50x = 4,002.21 × 1,024.47
  4. Step 4: Simplify right side
    2,668.50x = 4,100,144.08
  5. Step 5: Solve for x
    x = 4,100,144.08/2,668.50
  6. Step 6: Final answer
    x = 1,536.50

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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.