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Finding the Fourth Proportional to 6,123.78, 8,450.67 and 3,471.63

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Solution

The fourth proportional to 6,123.78, 8,450.67 and 3,471.63 is: 4,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.78 : 8,450.67 = 3,471.63 : x
  2. Step 2: Convert to fraction form
    6,123.78/8,450.67 = 3,471.63/x
  3. Step 3: Cross multiply
    6,123.78x = 8,450.67 × 3,471.63
  4. Step 4: Simplify right side
    6,123.78x = 29,337,599.49
  5. Step 5: Solve for x
    x = 29,337,599.49/6,123.78
  6. Step 6: Final answer
    x = 4,790.77

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Half scale
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Double scale
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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.