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Finding the Fourth Proportional to 7,413, 11,120.22 and 1,941

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Solution

The fourth proportional to 7,413, 11,120.22 and 1,941 is: 2,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 11,120.22 = 1,941 : x
  2. Step 2: Convert to fraction form
    7,413/11,120.22 = 1,941/x
  3. Step 3: Cross multiply
    7,413x = 11,120.22 × 1,941
  4. Step 4: Simplify right side
    7,413x = 21,584,347.02
  5. Step 5: Solve for x
    x = 21,584,347.02/7,413
  6. Step 6: Final answer
    x = 2,911.69

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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.