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Finding the Fourth Proportional to 18,356.64, 27,518.64 and 13,671

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Solution

The fourth proportional to 18,356.64, 27,518.64 and 13,671 is: 20,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.64 : 27,518.64 = 13,671 : x
  2. Step 2: Convert to fraction form
    18,356.64/27,518.64 = 13,671/x
  3. Step 3: Cross multiply
    18,356.64x = 27,518.64 × 13,671
  4. Step 4: Simplify right side
    18,356.64x = 376,207,327.44
  5. Step 5: Solve for x
    x = 376,207,327.44/18,356.64
  6. Step 6: Final answer
    x = 20,494.35

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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.