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Finding the Fourth Proportional to 13,866.53, 19,135.53 and 7,578.95

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Solution

The fourth proportional to 13,866.53, 19,135.53 and 7,578.95 is: 10,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.53 : 19,135.53 = 7,578.95 : x
  2. Step 2: Convert to fraction form
    13,866.53/19,135.53 = 7,578.95/x
  3. Step 3: Cross multiply
    13,866.53x = 19,135.53 × 7,578.95
  4. Step 4: Simplify right side
    13,866.53x = 145,027,225.09
  5. Step 5: Solve for x
    x = 145,027,225.09/13,866.53
  6. Step 6: Final answer
    x = 10,458.80

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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.