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Finding the Fourth Proportional to 2,445.21, 3,668.36 and 801.86

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Solution

The fourth proportional to 2,445.21, 3,668.36 and 801.86 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.21 : 3,668.36 = 801.86 : x
  2. Step 2: Convert to fraction form
    2,445.21/3,668.36 = 801.86/x
  3. Step 3: Cross multiply
    2,445.21x = 3,668.36 × 801.86
  4. Step 4: Simplify right side
    2,445.21x = 2,941,488.80
  5. Step 5: Solve for x
    x = 2,941,488.80/2,445.21
  6. Step 6: Final answer
    x = 1,202.96

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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.