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Finding the Fourth Proportional to 7,886.78, 10,884.25 and 4,350

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Solution

The fourth proportional to 7,886.78, 10,884.25 and 4,350 is: 6,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.78 : 10,884.25 = 4,350 : x
  2. Step 2: Convert to fraction form
    7,886.78/10,884.25 = 4,350/x
  3. Step 3: Cross multiply
    7,886.78x = 10,884.25 × 4,350
  4. Step 4: Simplify right side
    7,886.78x = 47,346,487.50
  5. Step 5: Solve for x
    x = 47,346,487.50/7,886.78
  6. Step 6: Final answer
    x = 6,003.27

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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.