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Finding the Fourth Proportional to 11,202.40, 15,460 and 7,418.96

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Solution

The fourth proportional to 11,202.40, 15,460 and 7,418.96 is: 10,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.40 : 15,460 = 7,418.96 : x
  2. Step 2: Convert to fraction form
    11,202.40/15,460 = 7,418.96/x
  3. Step 3: Cross multiply
    11,202.40x = 15,460 × 7,418.96
  4. Step 4: Simplify right side
    11,202.40x = 114,697,121.60
  5. Step 5: Solve for x
    x = 114,697,121.60/11,202.40
  6. Step 6: Final answer
    x = 10,238.62

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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.