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Finding the Fourth Proportional to 11,220.52, 15,485.21 and 6,185.64

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Solution

The fourth proportional to 11,220.52, 15,485.21 and 6,185.64 is: 8,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.52 : 15,485.21 = 6,185.64 : x
  2. Step 2: Convert to fraction form
    11,220.52/15,485.21 = 6,185.64/x
  3. Step 3: Cross multiply
    11,220.52x = 15,485.21 × 6,185.64
  4. Step 4: Simplify right side
    11,220.52x = 95,785,934.38
  5. Step 5: Solve for x
    x = 95,785,934.38/11,220.52
  6. Step 6: Final answer
    x = 8,536.68

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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.