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Finding the Fourth Proportional to 7,693, 11,541.42 and 2,221

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Solution

The fourth proportional to 7,693, 11,541.42 and 2,221 is: 3,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693 : 11,541.42 = 2,221 : x
  2. Step 2: Convert to fraction form
    7,693/11,541.42 = 2,221/x
  3. Step 3: Cross multiply
    7,693x = 11,541.42 × 2,221
  4. Step 4: Simplify right side
    7,693x = 25,633,493.82
  5. Step 5: Solve for x
    x = 25,633,493.82/7,693
  6. Step 6: Final answer
    x = 3,332.05

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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.