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Finding the Fourth Proportional to 6,611.91, 9,123.43 and 4,257.24

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Solution

The fourth proportional to 6,611.91, 9,123.43 and 4,257.24 is: 5,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.91 : 9,123.43 = 4,257.24 : x
  2. Step 2: Convert to fraction form
    6,611.91/9,123.43 = 4,257.24/x
  3. Step 3: Cross multiply
    6,611.91x = 9,123.43 × 4,257.24
  4. Step 4: Simplify right side
    6,611.91x = 38,840,631.13
  5. Step 5: Solve for x
    x = 38,840,631.13/6,611.91
  6. Step 6: Final answer
    x = 5,874.34

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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.