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Finding the Fourth Proportional to 6,670, 10,003.11 and 2,769.58

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Solution

The fourth proportional to 6,670, 10,003.11 and 2,769.58 is: 4,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670 : 10,003.11 = 2,769.58 : x
  2. Step 2: Convert to fraction form
    6,670/10,003.11 = 2,769.58/x
  3. Step 3: Cross multiply
    6,670x = 10,003.11 × 2,769.58
  4. Step 4: Simplify right side
    6,670x = 27,704,413.39
  5. Step 5: Solve for x
    x = 27,704,413.39/6,670
  6. Step 6: Final answer
    x = 4,153.59

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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.