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Finding the Fourth Proportional to 13,877.80, 20,823.80 and 7,642.72

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Solution

The fourth proportional to 13,877.80, 20,823.80 and 7,642.72 is: 11,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.80 : 20,823.80 = 7,642.72 : x
  2. Step 2: Convert to fraction form
    13,877.80/20,823.80 = 7,642.72/x
  3. Step 3: Cross multiply
    13,877.80x = 20,823.80 × 7,642.72
  4. Step 4: Simplify right side
    13,877.80x = 159,150,472.74
  5. Step 5: Solve for x
    x = 159,150,472.74/13,877.80
  6. Step 6: Final answer
    x = 11,467.99

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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.