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Finding the Fourth Proportional to 7,641.01, 11,453.16 and 3,479.94

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Solution

The fourth proportional to 7,641.01, 11,453.16 and 3,479.94 is: 5,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.01 : 11,453.16 = 3,479.94 : x
  2. Step 2: Convert to fraction form
    7,641.01/11,453.16 = 3,479.94/x
  3. Step 3: Cross multiply
    7,641.01x = 11,453.16 × 3,479.94
  4. Step 4: Simplify right side
    7,641.01x = 39,856,309.61
  5. Step 5: Solve for x
    x = 39,856,309.61/7,641.01
  6. Step 6: Final answer
    x = 5,216.10

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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.