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Finding the Fourth Proportional to 5,491.66, 7,578.42 and 3,133.84

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Solution

The fourth proportional to 5,491.66, 7,578.42 and 3,133.84 is: 4,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.66 : 7,578.42 = 3,133.84 : x
  2. Step 2: Convert to fraction form
    5,491.66/7,578.42 = 3,133.84/x
  3. Step 3: Cross multiply
    5,491.66x = 7,578.42 × 3,133.84
  4. Step 4: Simplify right side
    5,491.66x = 23,749,555.73
  5. Step 5: Solve for x
    x = 23,749,555.73/5,491.66
  6. Step 6: Final answer
    x = 4,324.66

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1.5x scale

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.