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Finding the Fourth Proportional to 5,264.86, 7,890.43 and 2,141.22

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Solution

The fourth proportional to 5,264.86, 7,890.43 and 2,141.22 is: 3,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.86 : 7,890.43 = 2,141.22 : x
  2. Step 2: Convert to fraction form
    5,264.86/7,890.43 = 2,141.22/x
  3. Step 3: Cross multiply
    5,264.86x = 7,890.43 × 2,141.22
  4. Step 4: Simplify right side
    5,264.86x = 16,895,146.52
  5. Step 5: Solve for x
    x = 16,895,146.52/5,264.86
  6. Step 6: Final answer
    x = 3,209.04

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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.