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Finding the Fourth Proportional to 13,101.44, 18,080.08 and 7,133.12

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Solution

The fourth proportional to 13,101.44, 18,080.08 and 7,133.12 is: 9,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.44 : 18,080.08 = 7,133.12 : x
  2. Step 2: Convert to fraction form
    13,101.44/18,080.08 = 7,133.12/x
  3. Step 3: Cross multiply
    13,101.44x = 18,080.08 × 7,133.12
  4. Step 4: Simplify right side
    13,101.44x = 128,967,380.25
  5. Step 5: Solve for x
    x = 128,967,380.25/13,101.44
  6. Step 6: Final answer
    x = 9,843.76

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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.