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Finding the Fourth Proportional to 11,097.81, 15,309.81 and 6,845.31

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Solution

The fourth proportional to 11,097.81, 15,309.81 and 6,845.31 is: 9,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.81 : 15,309.81 = 6,845.31 : x
  2. Step 2: Convert to fraction form
    11,097.81/15,309.81 = 6,845.31/x
  3. Step 3: Cross multiply
    11,097.81x = 15,309.81 × 6,845.31
  4. Step 4: Simplify right side
    11,097.81x = 104,800,395.49
  5. Step 5: Solve for x
    x = 104,800,395.49/11,097.81
  6. Step 6: Final answer
    x = 9,443.34

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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.