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Finding the Fourth Proportional to 11,303.32, 16,945.80 and 9,761.64

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Solution

The fourth proportional to 11,303.32, 16,945.80 and 9,761.64 is: 14,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.32 : 16,945.80 = 9,761.64 : x
  2. Step 2: Convert to fraction form
    11,303.32/16,945.80 = 9,761.64/x
  3. Step 3: Cross multiply
    11,303.32x = 16,945.80 × 9,761.64
  4. Step 4: Simplify right side
    11,303.32x = 165,418,799.11
  5. Step 5: Solve for x
    x = 165,418,799.11/11,303.32
  6. Step 6: Final answer
    x = 14,634.53

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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.