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Finding the Fourth Proportional to 6,486.35, 9,730.13 and 3,905.69

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Solution

The fourth proportional to 6,486.35, 9,730.13 and 3,905.69 is: 5,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.35 : 9,730.13 = 3,905.69 : x
  2. Step 2: Convert to fraction form
    6,486.35/9,730.13 = 3,905.69/x
  3. Step 3: Cross multiply
    6,486.35x = 9,730.13 × 3,905.69
  4. Step 4: Simplify right side
    6,486.35x = 38,002,803.26
  5. Step 5: Solve for x
    x = 38,002,803.26/6,486.35
  6. Step 6: Final answer
    x = 5,858.89

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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.