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Finding the Fourth Proportional to 13,165, 19,750.74 and 3,931

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Solution

The fourth proportional to 13,165, 19,750.74 and 3,931 is: 5,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165 : 19,750.74 = 3,931 : x
  2. Step 2: Convert to fraction form
    13,165/19,750.74 = 3,931/x
  3. Step 3: Cross multiply
    13,165x = 19,750.74 × 3,931
  4. Step 4: Simplify right side
    13,165x = 77,640,158.94
  5. Step 5: Solve for x
    x = 77,640,158.94/13,165
  6. Step 6: Final answer
    x = 5,897.47

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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.