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Finding the Fourth Proportional to 7,410.50, 11,112.50 and 2,215.16

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Solution

The fourth proportional to 7,410.50, 11,112.50 and 2,215.16 is: 3,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.50 : 11,112.50 = 2,215.16 : x
  2. Step 2: Convert to fraction form
    7,410.50/11,112.50 = 2,215.16/x
  3. Step 3: Cross multiply
    7,410.50x = 11,112.50 × 2,215.16
  4. Step 4: Simplify right side
    7,410.50x = 24,615,965.50
  5. Step 5: Solve for x
    x = 24,615,965.50/7,410.50
  6. Step 6: Final answer
    x = 3,321.77

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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.