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Finding the Fourth Proportional to 6,878.52, 9,487.50 and 4,227.42

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Solution

The fourth proportional to 6,878.52, 9,487.50 and 4,227.42 is: 5,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.52 : 9,487.50 = 4,227.42 : x
  2. Step 2: Convert to fraction form
    6,878.52/9,487.50 = 4,227.42/x
  3. Step 3: Cross multiply
    6,878.52x = 9,487.50 × 4,227.42
  4. Step 4: Simplify right side
    6,878.52x = 40,107,647.25
  5. Step 5: Solve for x
    x = 40,107,647.25/6,878.52
  6. Step 6: Final answer
    x = 5,830.85

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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.