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Finding the Fourth Proportional to 5,184.63, 7,780.22 and 2,721.21

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Solution

The fourth proportional to 5,184.63, 7,780.22 and 2,721.21 is: 4,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.63 : 7,780.22 = 2,721.21 : x
  2. Step 2: Convert to fraction form
    5,184.63/7,780.22 = 2,721.21/x
  3. Step 3: Cross multiply
    5,184.63x = 7,780.22 × 2,721.21
  4. Step 4: Simplify right side
    5,184.63x = 21,171,598.86
  5. Step 5: Solve for x
    x = 21,171,598.86/5,184.63
  6. Step 6: Final answer
    x = 4,083.53

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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.