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Finding the Fourth Proportional to 11,578.69, 17,368.00 and 2,813.60

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Solution

The fourth proportional to 11,578.69, 17,368.00 and 2,813.60 is: 4,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.69 : 17,368.00 = 2,813.60 : x
  2. Step 2: Convert to fraction form
    11,578.69/17,368.00 = 2,813.60/x
  3. Step 3: Cross multiply
    11,578.69x = 17,368.00 × 2,813.60
  4. Step 4: Simplify right side
    11,578.69x = 48,866,641.19
  5. Step 5: Solve for x
    x = 48,866,641.19/11,578.69
  6. Step 6: Final answer
    x = 4,220.39

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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.