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Finding the Fourth Proportional to 12,388.66, 18,578.12 and 4,991.74

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Solution

The fourth proportional to 12,388.66, 18,578.12 and 4,991.74 is: 7,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.66 : 18,578.12 = 4,991.74 : x
  2. Step 2: Convert to fraction form
    12,388.66/18,578.12 = 4,991.74/x
  3. Step 3: Cross multiply
    12,388.66x = 18,578.12 × 4,991.74
  4. Step 4: Simplify right side
    12,388.66x = 92,737,051.84
  5. Step 5: Solve for x
    x = 92,737,051.84/12,388.66
  6. Step 6: Final answer
    x = 7,485.64

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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.