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Finding the Fourth Proportional to 13,101.68, 18,080.16 and 7,133.30

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Solution

The fourth proportional to 13,101.68, 18,080.16 and 7,133.30 is: 9,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.68 : 18,080.16 = 7,133.30 : x
  2. Step 2: Convert to fraction form
    13,101.68/18,080.16 = 7,133.30/x
  3. Step 3: Cross multiply
    13,101.68x = 18,080.16 × 7,133.30
  4. Step 4: Simplify right side
    13,101.68x = 128,971,205.33
  5. Step 5: Solve for x
    x = 128,971,205.33/13,101.68
  6. Step 6: Final answer
    x = 9,843.87

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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.