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Finding the Fourth Proportional to 13,931, 20,896.52 and 4,697

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Solution

The fourth proportional to 13,931, 20,896.52 and 4,697 is: 7,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931 : 20,896.52 = 4,697 : x
  2. Step 2: Convert to fraction form
    13,931/20,896.52 = 4,697/x
  3. Step 3: Cross multiply
    13,931x = 20,896.52 × 4,697
  4. Step 4: Simplify right side
    13,931x = 98,150,954.44
  5. Step 5: Solve for x
    x = 98,150,954.44/13,931
  6. Step 6: Final answer
    x = 7,045.51

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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.