Home / 9,151.66-13,728-2,578.36

Finding the Fourth Proportional to 9,151.66, 13,728 and 2,578.36

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Solution

The fourth proportional to 9,151.66, 13,728 and 2,578.36 is: 3,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.66 : 13,728 = 2,578.36 : x
  2. Step 2: Convert to fraction form
    9,151.66/13,728 = 2,578.36/x
  3. Step 3: Cross multiply
    9,151.66x = 13,728 × 2,578.36
  4. Step 4: Simplify right side
    9,151.66x = 35,395,726.08
  5. Step 5: Solve for x
    x = 35,395,726.08/9,151.66
  6. Step 6: Final answer
    x = 3,867.68

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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.