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Finding the Fourth Proportional to 8,699.95, 13,046.82 and 3,151.86

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Solution

The fourth proportional to 8,699.95, 13,046.82 and 3,151.86 is: 4,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.95 : 13,046.82 = 3,151.86 : x
  2. Step 2: Convert to fraction form
    8,699.95/13,046.82 = 3,151.86/x
  3. Step 3: Cross multiply
    8,699.95x = 13,046.82 × 3,151.86
  4. Step 4: Simplify right side
    8,699.95x = 41,121,750.09
  5. Step 5: Solve for x
    x = 41,121,750.09/8,699.95
  6. Step 6: Final answer
    x = 4,726.67

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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.