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Finding the Fourth Proportional to 12,949.00, 17,871.44 and 7,286.02

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Solution

The fourth proportional to 12,949.00, 17,871.44 and 7,286.02 is: 10,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.00 : 17,871.44 = 7,286.02 : x
  2. Step 2: Convert to fraction form
    12,949.00/17,871.44 = 7,286.02/x
  3. Step 3: Cross multiply
    12,949.00x = 17,871.44 × 7,286.02
  4. Step 4: Simplify right side
    12,949.00x = 130,211,588.16
  5. Step 5: Solve for x
    x = 130,211,588.16/12,949.00
  6. Step 6: Final answer
    x = 10,055.73

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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.