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Finding the Fourth Proportional to 12,187.76, 18,284.88 and 3,868

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Solution

The fourth proportional to 12,187.76, 18,284.88 and 3,868 is: 5,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.76 : 18,284.88 = 3,868 : x
  2. Step 2: Convert to fraction form
    12,187.76/18,284.88 = 3,868/x
  3. Step 3: Cross multiply
    12,187.76x = 18,284.88 × 3,868
  4. Step 4: Simplify right side
    12,187.76x = 70,725,915.84
  5. Step 5: Solve for x
    x = 70,725,915.84/12,187.76
  6. Step 6: Final answer
    x = 5,803.03

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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.