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Finding the Fourth Proportional to 13,486.24, 20,231.20 and 4,719.12

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Solution

The fourth proportional to 13,486.24, 20,231.20 and 4,719.12 is: 7,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.24 : 20,231.20 = 4,719.12 : x
  2. Step 2: Convert to fraction form
    13,486.24/20,231.20 = 4,719.12/x
  3. Step 3: Cross multiply
    13,486.24x = 20,231.20 × 4,719.12
  4. Step 4: Simplify right side
    13,486.24x = 95,473,460.54
  5. Step 5: Solve for x
    x = 95,473,460.54/13,486.24
  6. Step 6: Final answer
    x = 7,079.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.