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Finding the Fourth Proportional to 13,542, 18,690.12 and 7,951.92

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Solution

The fourth proportional to 13,542, 18,690.12 and 7,951.92 is: 10,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542 : 18,690.12 = 7,951.92 : x
  2. Step 2: Convert to fraction form
    13,542/18,690.12 = 7,951.92/x
  3. Step 3: Cross multiply
    13,542x = 18,690.12 × 7,951.92
  4. Step 4: Simplify right side
    13,542x = 148,622,339.03
  5. Step 5: Solve for x
    x = 148,622,339.03/13,542
  6. Step 6: Final answer
    x = 10,974.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.