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Finding the Fourth Proportional to 13,410.15, 20,109.15 and 5,087.40

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Solution

The fourth proportional to 13,410.15, 20,109.15 and 5,087.40 is: 7,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.15 : 20,109.15 = 5,087.40 : x
  2. Step 2: Convert to fraction form
    13,410.15/20,109.15 = 5,087.40/x
  3. Step 3: Cross multiply
    13,410.15x = 20,109.15 × 5,087.40
  4. Step 4: Simplify right side
    13,410.15x = 102,303,289.71
  5. Step 5: Solve for x
    x = 102,303,289.71/13,410.15
  6. Step 6: Final answer
    x = 7,628.80

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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.