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Finding the Fourth Proportional to 7,086.88, 10,630.05 and 1,821.93

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Solution

The fourth proportional to 7,086.88, 10,630.05 and 1,821.93 is: 2,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.88 : 10,630.05 = 1,821.93 : x
  2. Step 2: Convert to fraction form
    7,086.88/10,630.05 = 1,821.93/x
  3. Step 3: Cross multiply
    7,086.88x = 10,630.05 × 1,821.93
  4. Step 4: Simplify right side
    7,086.88x = 19,367,207.00
  5. Step 5: Solve for x
    x = 19,367,207.00/7,086.88
  6. Step 6: Final answer
    x = 2,732.83

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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.