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Finding the Fourth Proportional to 5,000, 6,900 and 3,761.60

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Solution

The fourth proportional to 5,000, 6,900 and 3,761.60 is: 5,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 6,900 = 3,761.60 : x
  2. Step 2: Convert to fraction form
    5,000/6,900 = 3,761.60/x
  3. Step 3: Cross multiply
    5,000x = 6,900 × 3,761.60
  4. Step 4: Simplify right side
    5,000x = 25,955,040
  5. Step 5: Solve for x
    x = 25,955,040/5,000
  6. Step 6: Final answer
    x = 5,191.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.