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Finding the Fourth Proportional to 7,878.56, 10,872.65 and 4,342

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Solution

The fourth proportional to 7,878.56, 10,872.65 and 4,342 is: 5,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.56 : 10,872.65 = 4,342 : x
  2. Step 2: Convert to fraction form
    7,878.56/10,872.65 = 4,342/x
  3. Step 3: Cross multiply
    7,878.56x = 10,872.65 × 4,342
  4. Step 4: Simplify right side
    7,878.56x = 47,209,046.30
  5. Step 5: Solve for x
    x = 47,209,046.30/7,878.56
  6. Step 6: Final answer
    x = 5,992.09

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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.