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Finding the Fourth Proportional to 4,645.88, 6,971.20 and 3,086.96

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Solution

The fourth proportional to 4,645.88, 6,971.20 and 3,086.96 is: 4,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.88 : 6,971.20 = 3,086.96 : x
  2. Step 2: Convert to fraction form
    4,645.88/6,971.20 = 3,086.96/x
  3. Step 3: Cross multiply
    4,645.88x = 6,971.20 × 3,086.96
  4. Step 4: Simplify right side
    4,645.88x = 21,519,815.55
  5. Step 5: Solve for x
    x = 21,519,815.55/4,645.88
  6. Step 6: Final answer
    x = 4,632.02

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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.