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Finding the Fourth Proportional to 6,661.86, 9,985.57 and 3,287

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Solution

The fourth proportional to 6,661.86, 9,985.57 and 3,287 is: 4,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.86 : 9,985.57 = 3,287 : x
  2. Step 2: Convert to fraction form
    6,661.86/9,985.57 = 3,287/x
  3. Step 3: Cross multiply
    6,661.86x = 9,985.57 × 3,287
  4. Step 4: Simplify right side
    6,661.86x = 32,822,568.59
  5. Step 5: Solve for x
    x = 32,822,568.59/6,661.86
  6. Step 6: Final answer
    x = 4,926.94

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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.