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Finding the Fourth Proportional to 6,655.77, 9,982.35 and 2,212.74

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Solution

The fourth proportional to 6,655.77, 9,982.35 and 2,212.74 is: 3,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.77 : 9,982.35 = 2,212.74 : x
  2. Step 2: Convert to fraction form
    6,655.77/9,982.35 = 2,212.74/x
  3. Step 3: Cross multiply
    6,655.77x = 9,982.35 × 2,212.74
  4. Step 4: Simplify right side
    6,655.77x = 22,088,345.14
  5. Step 5: Solve for x
    x = 22,088,345.14/6,655.77
  6. Step 6: Final answer
    x = 3,318.68

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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.