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Finding the Fourth Proportional to 13,811.88, 20,717.81 and 4,577.88

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Solution

The fourth proportional to 13,811.88, 20,717.81 and 4,577.88 is: 6,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.88 : 20,717.81 = 4,577.88 : x
  2. Step 2: Convert to fraction form
    13,811.88/20,717.81 = 4,577.88/x
  3. Step 3: Cross multiply
    13,811.88x = 20,717.81 × 4,577.88
  4. Step 4: Simplify right side
    13,811.88x = 94,843,648.04
  5. Step 5: Solve for x
    x = 94,843,648.04/13,811.88
  6. Step 6: Final answer
    x = 6,866.82

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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.