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Finding the Fourth Proportional to 7,878.12, 10,872 and 4,341.72

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Solution

The fourth proportional to 7,878.12, 10,872 and 4,341.72 is: 5,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.12 : 10,872 = 4,341.72 : x
  2. Step 2: Convert to fraction form
    7,878.12/10,872 = 4,341.72/x
  3. Step 3: Cross multiply
    7,878.12x = 10,872 × 4,341.72
  4. Step 4: Simplify right side
    7,878.12x = 47,203,179.84
  5. Step 5: Solve for x
    x = 47,203,179.84/7,878.12
  6. Step 6: Final answer
    x = 5,991.68

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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.