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Finding the Fourth Proportional to 13,865.62, 19,134.62 and 7,578.14

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Solution

The fourth proportional to 13,865.62, 19,134.62 and 7,578.14 is: 10,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.62 : 19,134.62 = 7,578.14 : x
  2. Step 2: Convert to fraction form
    13,865.62/19,134.62 = 7,578.14/x
  3. Step 3: Cross multiply
    13,865.62x = 19,134.62 × 7,578.14
  4. Step 4: Simplify right side
    13,865.62x = 145,004,829.21
  5. Step 5: Solve for x
    x = 145,004,829.21/13,865.62
  6. Step 6: Final answer
    x = 10,457.87

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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.