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Finding the Fourth Proportional to 6,486.86, 9,721.16 and 3,709.37

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Solution

The fourth proportional to 6,486.86, 9,721.16 and 3,709.37 is: 5,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.86 : 9,721.16 = 3,709.37 : x
  2. Step 2: Convert to fraction form
    6,486.86/9,721.16 = 3,709.37/x
  3. Step 3: Cross multiply
    6,486.86x = 9,721.16 × 3,709.37
  4. Step 4: Simplify right side
    6,486.86x = 36,059,312.12
  5. Step 5: Solve for x
    x = 36,059,312.12/6,486.86
  6. Step 6: Final answer
    x = 5,558.83

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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.