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Finding the Fourth Proportional to 7,878.96, 10,871 and 5,006.64

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Solution

The fourth proportional to 7,878.96, 10,871 and 5,006.64 is: 6,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.96 : 10,871 = 5,006.64 : x
  2. Step 2: Convert to fraction form
    7,878.96/10,871 = 5,006.64/x
  3. Step 3: Cross multiply
    7,878.96x = 10,871 × 5,006.64
  4. Step 4: Simplify right side
    7,878.96x = 54,427,183.44
  5. Step 5: Solve for x
    x = 54,427,183.44/7,878.96
  6. Step 6: Final answer
    x = 6,907.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.