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Finding the Fourth Proportional to 13,364.98, 20,028.30 and 7,509.28

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Solution

The fourth proportional to 13,364.98, 20,028.30 and 7,509.28 is: 11,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.98 : 20,028.30 = 7,509.28 : x
  2. Step 2: Convert to fraction form
    13,364.98/20,028.30 = 7,509.28/x
  3. Step 3: Cross multiply
    13,364.98x = 20,028.30 × 7,509.28
  4. Step 4: Simplify right side
    13,364.98x = 150,398,112.62
  5. Step 5: Solve for x
    x = 150,398,112.62/13,364.98
  6. Step 6: Final answer
    x = 11,253.15

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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.