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Finding the Fourth Proportional to 5,491.75, 7,578.61 and 2,973.86

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Solution

The fourth proportional to 5,491.75, 7,578.61 and 2,973.86 is: 4,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.75 : 7,578.61 = 2,973.86 : x
  2. Step 2: Convert to fraction form
    5,491.75/7,578.61 = 2,973.86/x
  3. Step 3: Cross multiply
    5,491.75x = 7,578.61 × 2,973.86
  4. Step 4: Simplify right side
    5,491.75x = 22,537,725.13
  5. Step 5: Solve for x
    x = 22,537,725.13/5,491.75
  6. Step 6: Final answer
    x = 4,103.92

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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.