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Finding the Fourth Proportional to 13,521.74, 20,281 and 4,161.74

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Solution

The fourth proportional to 13,521.74, 20,281 and 4,161.74 is: 6,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.74 : 20,281 = 4,161.74 : x
  2. Step 2: Convert to fraction form
    13,521.74/20,281 = 4,161.74/x
  3. Step 3: Cross multiply
    13,521.74x = 20,281 × 4,161.74
  4. Step 4: Simplify right side
    13,521.74x = 84,404,248.94
  5. Step 5: Solve for x
    x = 84,404,248.94/13,521.74
  6. Step 6: Final answer
    x = 6,242.11

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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.