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Finding the Fourth Proportional to 7,641.86, 11,459.39 and 2,644.70

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Solution

The fourth proportional to 7,641.86, 11,459.39 and 2,644.70 is: 3,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.86 : 11,459.39 = 2,644.70 : x
  2. Step 2: Convert to fraction form
    7,641.86/11,459.39 = 2,644.70/x
  3. Step 3: Cross multiply
    7,641.86x = 11,459.39 × 2,644.70
  4. Step 4: Simplify right side
    7,641.86x = 30,306,578.21
  5. Step 5: Solve for x
    x = 30,306,578.21/7,641.86
  6. Step 6: Final answer
    x = 3,965.87

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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.