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Finding the Fourth Proportional to 10,655.70, 15,982.72 and 3,260.22

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Solution

The fourth proportional to 10,655.70, 15,982.72 and 3,260.22 is: 4,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.70 : 15,982.72 = 3,260.22 : x
  2. Step 2: Convert to fraction form
    10,655.70/15,982.72 = 3,260.22/x
  3. Step 3: Cross multiply
    10,655.70x = 15,982.72 × 3,260.22
  4. Step 4: Simplify right side
    10,655.70x = 52,107,183.40
  5. Step 5: Solve for x
    x = 52,107,183.40/10,655.70
  6. Step 6: Final answer
    x = 4,890.08

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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.