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Finding the Fourth Proportional to 2,668.84, 4,007.58 and 1,649.32

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Solution

The fourth proportional to 2,668.84, 4,007.58 and 1,649.32 is: 2,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.84 : 4,007.58 = 1,649.32 : x
  2. Step 2: Convert to fraction form
    2,668.84/4,007.58 = 1,649.32/x
  3. Step 3: Cross multiply
    2,668.84x = 4,007.58 × 1,649.32
  4. Step 4: Simplify right side
    2,668.84x = 6,609,781.85
  5. Step 5: Solve for x
    x = 6,609,781.85/2,668.84
  6. Step 6: Final answer
    x = 2,476.65

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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.