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Finding the Fourth Proportional to 2,103.22, 3,154.76 and 543.19

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Solution

The fourth proportional to 2,103.22, 3,154.76 and 543.19 is: 814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.22 : 3,154.76 = 543.19 : x
  2. Step 2: Convert to fraction form
    2,103.22/3,154.76 = 543.19/x
  3. Step 3: Cross multiply
    2,103.22x = 3,154.76 × 543.19
  4. Step 4: Simplify right side
    2,103.22x = 1,713,634.08
  5. Step 5: Solve for x
    x = 1,713,634.08/2,103.22
  6. Step 6: Final answer
    x = 814.77

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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.