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Finding the Fourth Proportional to 13,846.68, 19,107.50 and 7,878.20

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Solution

The fourth proportional to 13,846.68, 19,107.50 and 7,878.20 is: 10,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.68 : 19,107.50 = 7,878.20 : x
  2. Step 2: Convert to fraction form
    13,846.68/19,107.50 = 7,878.20/x
  3. Step 3: Cross multiply
    13,846.68x = 19,107.50 × 7,878.20
  4. Step 4: Simplify right side
    13,846.68x = 150,532,571.57
  5. Step 5: Solve for x
    x = 150,532,571.57/13,846.68
  6. Step 6: Final answer
    x = 10,871.38

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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.