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Finding the Fourth Proportional to 6,200.92, 8,549.13 and 4,474.77

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Solution

The fourth proportional to 6,200.92, 8,549.13 and 4,474.77 is: 6,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.92 : 8,549.13 = 4,474.77 : x
  2. Step 2: Convert to fraction form
    6,200.92/8,549.13 = 4,474.77/x
  3. Step 3: Cross multiply
    6,200.92x = 8,549.13 × 4,474.77
  4. Step 4: Simplify right side
    6,200.92x = 38,255,372.12
  5. Step 5: Solve for x
    x = 38,255,372.12/6,200.92
  6. Step 6: Final answer
    x = 6,169.30

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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.