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Finding the Fourth Proportional to 13,410.65, 20,109.90 and 5,087.90

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Solution

The fourth proportional to 13,410.65, 20,109.90 and 5,087.90 is: 7,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.65 : 20,109.90 = 5,087.90 : x
  2. Step 2: Convert to fraction form
    13,410.65/20,109.90 = 5,087.90/x
  3. Step 3: Cross multiply
    13,410.65x = 20,109.90 × 5,087.90
  4. Step 4: Simplify right side
    13,410.65x = 102,317,160.21
  5. Step 5: Solve for x
    x = 102,317,160.21/13,410.65
  6. Step 6: Final answer
    x = 7,629.55

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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.