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Finding the Fourth Proportional to 13,365, 20,040.14 and 9,153.10

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Solution

The fourth proportional to 13,365, 20,040.14 and 9,153.10 is: 13,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 20,040.14 = 9,153.10 : x
  2. Step 2: Convert to fraction form
    13,365/20,040.14 = 9,153.10/x
  3. Step 3: Cross multiply
    13,365x = 20,040.14 × 9,153.10
  4. Step 4: Simplify right side
    13,365x = 183,429,453.37
  5. Step 5: Solve for x
    x = 183,429,453.37/13,365
  6. Step 6: Final answer
    x = 13,724.61

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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.