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Finding the Fourth Proportional to 15,218.81, 22,832.87 and 7,219.75

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Solution

The fourth proportional to 15,218.81, 22,832.87 and 7,219.75 is: 10,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.81 : 22,832.87 = 7,219.75 : x
  2. Step 2: Convert to fraction form
    15,218.81/22,832.87 = 7,219.75/x
  3. Step 3: Cross multiply
    15,218.81x = 22,832.87 × 7,219.75
  4. Step 4: Simplify right side
    15,218.81x = 164,847,613.18
  5. Step 5: Solve for x
    x = 164,847,613.18/15,218.81
  6. Step 6: Final answer
    x = 10,831.83

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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.