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Finding the Fourth Proportional to 6,429.90, 9,644.85 and 2,965.26

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Solution

The fourth proportional to 6,429.90, 9,644.85 and 2,965.26 is: 4,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.90 : 9,644.85 = 2,965.26 : x
  2. Step 2: Convert to fraction form
    6,429.90/9,644.85 = 2,965.26/x
  3. Step 3: Cross multiply
    6,429.90x = 9,644.85 × 2,965.26
  4. Step 4: Simplify right side
    6,429.90x = 28,599,487.91
  5. Step 5: Solve for x
    x = 28,599,487.91/6,429.90
  6. Step 6: Final answer
    x = 4,447.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.