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Finding the Fourth Proportional to 12,165, 18,247.50 and 2,931

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Solution

The fourth proportional to 12,165, 18,247.50 and 2,931 is: 4,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165 : 18,247.50 = 2,931 : x
  2. Step 2: Convert to fraction form
    12,165/18,247.50 = 2,931/x
  3. Step 3: Cross multiply
    12,165x = 18,247.50 × 2,931
  4. Step 4: Simplify right side
    12,165x = 53,483,422.50
  5. Step 5: Solve for x
    x = 53,483,422.50/12,165
  6. Step 6: Final answer
    x = 4,396.50

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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.