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Finding the Fourth Proportional to 11,691.89, 17,543.30 and 6,765.67

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Solution

The fourth proportional to 11,691.89, 17,543.30 and 6,765.67 is: 10,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.89 : 17,543.30 = 6,765.67 : x
  2. Step 2: Convert to fraction form
    11,691.89/17,543.30 = 6,765.67/x
  3. Step 3: Cross multiply
    11,691.89x = 17,543.30 × 6,765.67
  4. Step 4: Simplify right side
    11,691.89x = 118,692,178.51
  5. Step 5: Solve for x
    x = 118,692,178.51/11,691.89
  6. Step 6: Final answer
    x = 10,151.67

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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.