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Finding the Fourth Proportional to 11,216.64, 15,462.48 and 7,236.24

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Solution

The fourth proportional to 11,216.64, 15,462.48 and 7,236.24 is: 9,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.64 : 15,462.48 = 7,236.24 : x
  2. Step 2: Convert to fraction form
    11,216.64/15,462.48 = 7,236.24/x
  3. Step 3: Cross multiply
    11,216.64x = 15,462.48 × 7,236.24
  4. Step 4: Simplify right side
    11,216.64x = 111,890,216.28
  5. Step 5: Solve for x
    x = 111,890,216.28/11,216.64
  6. Step 6: Final answer
    x = 9,975.38

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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.