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Finding the Fourth Proportional to 5,429.96, 7,489.94 and 4,169.09

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Solution

The fourth proportional to 5,429.96, 7,489.94 and 4,169.09 is: 5,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.96 : 7,489.94 = 4,169.09 : x
  2. Step 2: Convert to fraction form
    5,429.96/7,489.94 = 4,169.09/x
  3. Step 3: Cross multiply
    5,429.96x = 7,489.94 × 4,169.09
  4. Step 4: Simplify right side
    5,429.96x = 31,226,175.66
  5. Step 5: Solve for x
    x = 31,226,175.66/5,429.96
  6. Step 6: Final answer
    x = 5,750.72

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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.