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Finding the Fourth Proportional to 6,578.76, 9,871.86 and 3,656.76

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Solution

The fourth proportional to 6,578.76, 9,871.86 and 3,656.76 is: 5,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.76 : 9,871.86 = 3,656.76 : x
  2. Step 2: Convert to fraction form
    6,578.76/9,871.86 = 3,656.76/x
  3. Step 3: Cross multiply
    6,578.76x = 9,871.86 × 3,656.76
  4. Step 4: Simplify right side
    6,578.76x = 36,099,022.77
  5. Step 5: Solve for x
    x = 36,099,022.77/6,578.76
  6. Step 6: Final answer
    x = 5,487.21

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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.