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Finding the Fourth Proportional to 7,721, 11,581.48 and 1,877.61

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Solution

The fourth proportional to 7,721, 11,581.48 and 1,877.61 is: 2,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 11,581.48 = 1,877.61 : x
  2. Step 2: Convert to fraction form
    7,721/11,581.48 = 1,877.61/x
  3. Step 3: Cross multiply
    7,721x = 11,581.48 × 1,877.61
  4. Step 4: Simplify right side
    7,721x = 21,745,502.66
  5. Step 5: Solve for x
    x = 21,745,502.66/7,721
  6. Step 6: Final answer
    x = 2,816.41

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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.