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Finding the Fourth Proportional to 12,951.87, 17,873.41 and 7,286.60

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Solution

The fourth proportional to 12,951.87, 17,873.41 and 7,286.60 is: 10,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.87 : 17,873.41 = 7,286.60 : x
  2. Step 2: Convert to fraction form
    12,951.87/17,873.41 = 7,286.60/x
  3. Step 3: Cross multiply
    12,951.87x = 17,873.41 × 7,286.60
  4. Step 4: Simplify right side
    12,951.87x = 130,236,389.31
  5. Step 5: Solve for x
    x = 130,236,389.31/12,951.87
  6. Step 6: Final answer
    x = 10,055.41

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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.