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Finding the Fourth Proportional to 11,216.56, 16,827.04 and 3,319.20

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Solution

The fourth proportional to 11,216.56, 16,827.04 and 3,319.20 is: 4,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.56 : 16,827.04 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    11,216.56/16,827.04 = 3,319.20/x
  3. Step 3: Cross multiply
    11,216.56x = 16,827.04 × 3,319.20
  4. Step 4: Simplify right side
    11,216.56x = 55,852,311.17
  5. Step 5: Solve for x
    x = 55,852,311.17/11,216.56
  6. Step 6: Final answer
    x = 4,979.45

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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.