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Finding the Fourth Proportional to 13,102.17, 18,080.90 and 7,133.84

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Solution

The fourth proportional to 13,102.17, 18,080.90 and 7,133.84 is: 9,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.17 : 18,080.90 = 7,133.84 : x
  2. Step 2: Convert to fraction form
    13,102.17/18,080.90 = 7,133.84/x
  3. Step 3: Cross multiply
    13,102.17x = 18,080.90 × 7,133.84
  4. Step 4: Simplify right side
    13,102.17x = 128,986,157.25
  5. Step 5: Solve for x
    x = 128,986,157.25/13,102.17
  6. Step 6: Final answer
    x = 9,844.64

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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.