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Finding the Fourth Proportional to 11,338.11, 16,978.87 and 7,165.53

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Solution

The fourth proportional to 11,338.11, 16,978.87 and 7,165.53 is: 10,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.11 : 16,978.87 = 7,165.53 : x
  2. Step 2: Convert to fraction form
    11,338.11/16,978.87 = 7,165.53/x
  3. Step 3: Cross multiply
    11,338.11x = 16,978.87 × 7,165.53
  4. Step 4: Simplify right side
    11,338.11x = 121,662,602.35
  5. Step 5: Solve for x
    x = 121,662,602.35/11,338.11
  6. Step 6: Final answer
    x = 10,730.41

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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.