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Finding the Fourth Proportional to 13,208.40, 18,228 and 7,240.32

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Solution

The fourth proportional to 13,208.40, 18,228 and 7,240.32 is: 9,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.40 : 18,228 = 7,240.32 : x
  2. Step 2: Convert to fraction form
    13,208.40/18,228 = 7,240.32/x
  3. Step 3: Cross multiply
    13,208.40x = 18,228 × 7,240.32
  4. Step 4: Simplify right side
    13,208.40x = 131,976,552.96
  5. Step 5: Solve for x
    x = 131,976,552.96/13,208.40
  6. Step 6: Final answer
    x = 9,991.87

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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.