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Finding the Fourth Proportional to 7,367.78, 11,051.43 and 1,821.17

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Solution

The fourth proportional to 7,367.78, 11,051.43 and 1,821.17 is: 2,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.78 : 11,051.43 = 1,821.17 : x
  2. Step 2: Convert to fraction form
    7,367.78/11,051.43 = 1,821.17/x
  3. Step 3: Cross multiply
    7,367.78x = 11,051.43 × 1,821.17
  4. Step 4: Simplify right side
    7,367.78x = 20,126,477.52
  5. Step 5: Solve for x
    x = 20,126,477.52/7,367.78
  6. Step 6: Final answer
    x = 2,731.69

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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.