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Finding the Fourth Proportional to 3,967.96, 5,476.62 and 2,641.72

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Solution

The fourth proportional to 3,967.96, 5,476.62 and 2,641.72 is: 3,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.96 : 5,476.62 = 2,641.72 : x
  2. Step 2: Convert to fraction form
    3,967.96/5,476.62 = 2,641.72/x
  3. Step 3: Cross multiply
    3,967.96x = 5,476.62 × 2,641.72
  4. Step 4: Simplify right side
    3,967.96x = 14,467,696.59
  5. Step 5: Solve for x
    x = 14,467,696.59/3,967.96
  6. Step 6: Final answer
    x = 3,646.13

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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.