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Finding the Fourth Proportional to 19,039.66, 28,578.02 and 11,658.53

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Solution

The fourth proportional to 19,039.66, 28,578.02 and 11,658.53 is: 17,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039.66 : 28,578.02 = 11,658.53 : x
  2. Step 2: Convert to fraction form
    19,039.66/28,578.02 = 11,658.53/x
  3. Step 3: Cross multiply
    19,039.66x = 28,578.02 × 11,658.53
  4. Step 4: Simplify right side
    19,039.66x = 333,177,716.66
  5. Step 5: Solve for x
    x = 333,177,716.66/19,039.66
  6. Step 6: Final answer
    x = 17,499.14

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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.