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Finding the Fourth Proportional to 6,878.89, 9,493.66 and 6,456.66

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Solution

The fourth proportional to 6,878.89, 9,493.66 and 6,456.66 is: 8,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.89 : 9,493.66 = 6,456.66 : x
  2. Step 2: Convert to fraction form
    6,878.89/9,493.66 = 6,456.66/x
  3. Step 3: Cross multiply
    6,878.89x = 9,493.66 × 6,456.66
  4. Step 4: Simplify right side
    6,878.89x = 61,297,334.78
  5. Step 5: Solve for x
    x = 61,297,334.78/6,878.89
  6. Step 6: Final answer
    x = 8,910.93

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1.5x scale

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.