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Finding the Fourth Proportional to 13,865.71, 19,134.64 and 7,578.09

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Solution

The fourth proportional to 13,865.71, 19,134.64 and 7,578.09 is: 10,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.71 : 19,134.64 = 7,578.09 : x
  2. Step 2: Convert to fraction form
    13,865.71/19,134.64 = 7,578.09/x
  3. Step 3: Cross multiply
    13,865.71x = 19,134.64 × 7,578.09
  4. Step 4: Simplify right side
    13,865.71x = 145,003,890.47
  5. Step 5: Solve for x
    x = 145,003,890.47/13,865.71
  6. Step 6: Final answer
    x = 10,457.73

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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.