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Finding the Fourth Proportional to 13,645, 20,467.51 and 5,442.76

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Solution

The fourth proportional to 13,645, 20,467.51 and 5,442.76 is: 8,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645 : 20,467.51 = 5,442.76 : x
  2. Step 2: Convert to fraction form
    13,645/20,467.51 = 5,442.76/x
  3. Step 3: Cross multiply
    13,645x = 20,467.51 × 5,442.76
  4. Step 4: Simplify right side
    13,645x = 111,399,744.73
  5. Step 5: Solve for x
    x = 111,399,744.73/13,645
  6. Step 6: Final answer
    x = 8,164.14

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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.