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Finding the Fourth Proportional to 11,262.45, 15,542.16 and 6,786.39

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Solution

The fourth proportional to 11,262.45, 15,542.16 and 6,786.39 is: 9,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.45 : 15,542.16 = 6,786.39 : x
  2. Step 2: Convert to fraction form
    11,262.45/15,542.16 = 6,786.39/x
  3. Step 3: Cross multiply
    11,262.45x = 15,542.16 × 6,786.39
  4. Step 4: Simplify right side
    11,262.45x = 105,475,159.20
  5. Step 5: Solve for x
    x = 105,475,159.20/11,262.45
  6. Step 6: Final answer
    x = 9,365.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.