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Finding the Fourth Proportional to 6,874.98, 9,487.64 and 4,220.88

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Solution

The fourth proportional to 6,874.98, 9,487.64 and 4,220.88 is: 5,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.98 : 9,487.64 = 4,220.88 : x
  2. Step 2: Convert to fraction form
    6,874.98/9,487.64 = 4,220.88/x
  3. Step 3: Cross multiply
    6,874.98x = 9,487.64 × 4,220.88
  4. Step 4: Simplify right side
    6,874.98x = 40,046,189.92
  5. Step 5: Solve for x
    x = 40,046,189.92/6,874.98
  6. Step 6: Final answer
    x = 5,824.92

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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.