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Finding the Fourth Proportional to 2,641, 3,960.87 and 886.07

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Solution

The fourth proportional to 2,641, 3,960.87 and 886.07 is: 1,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641 : 3,960.87 = 886.07 : x
  2. Step 2: Convert to fraction form
    2,641/3,960.87 = 886.07/x
  3. Step 3: Cross multiply
    2,641x = 3,960.87 × 886.07
  4. Step 4: Simplify right side
    2,641x = 3,509,608.08
  5. Step 5: Solve for x
    x = 3,509,608.08/2,641
  6. Step 6: Final answer
    x = 1,328.89

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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.