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Finding the Fourth Proportional to 5,491, 7,577.94 and 3,007

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Solution

The fourth proportional to 5,491, 7,577.94 and 3,007 is: 4,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491 : 7,577.94 = 3,007 : x
  2. Step 2: Convert to fraction form
    5,491/7,577.94 = 3,007/x
  3. Step 3: Cross multiply
    5,491x = 7,577.94 × 3,007
  4. Step 4: Simplify right side
    5,491x = 22,786,865.58
  5. Step 5: Solve for x
    x = 22,786,865.58/5,491
  6. Step 6: Final answer
    x = 4,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.