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Finding the Fourth Proportional to 11,354.88, 15,671.08 and 6,878.52

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Solution

The fourth proportional to 11,354.88, 15,671.08 and 6,878.52 is: 9,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.88 : 15,671.08 = 6,878.52 : x
  2. Step 2: Convert to fraction form
    11,354.88/15,671.08 = 6,878.52/x
  3. Step 3: Cross multiply
    11,354.88x = 15,671.08 × 6,878.52
  4. Step 4: Simplify right side
    11,354.88x = 107,793,837.20
  5. Step 5: Solve for x
    x = 107,793,837.20/11,354.88
  6. Step 6: Final answer
    x = 9,493.17

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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.