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Finding the Fourth Proportional to 11,160, 15,400.80 and 6,192

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Solution

The fourth proportional to 11,160, 15,400.80 and 6,192 is: 8,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160 : 15,400.80 = 6,192 : x
  2. Step 2: Convert to fraction form
    11,160/15,400.80 = 6,192/x
  3. Step 3: Cross multiply
    11,160x = 15,400.80 × 6,192
  4. Step 4: Simplify right side
    11,160x = 95,361,753.60
  5. Step 5: Solve for x
    x = 95,361,753.60/11,160
  6. Step 6: Final answer
    x = 8,544.96

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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.