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Finding the Fourth Proportional to 5,137, 7,705.86 and 2,059

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Solution

The fourth proportional to 5,137, 7,705.86 and 2,059 is: 3,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137 : 7,705.86 = 2,059 : x
  2. Step 2: Convert to fraction form
    5,137/7,705.86 = 2,059/x
  3. Step 3: Cross multiply
    5,137x = 7,705.86 × 2,059
  4. Step 4: Simplify right side
    5,137x = 15,866,365.74
  5. Step 5: Solve for x
    x = 15,866,365.74/5,137
  6. Step 6: Final answer
    x = 3,088.64

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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.