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Finding the Fourth Proportional to 15,231, 21,022.59 and 12,194.27

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Solution

The fourth proportional to 15,231, 21,022.59 and 12,194.27 is: 16,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231 : 21,022.59 = 12,194.27 : x
  2. Step 2: Convert to fraction form
    15,231/21,022.59 = 12,194.27/x
  3. Step 3: Cross multiply
    15,231x = 21,022.59 × 12,194.27
  4. Step 4: Simplify right side
    15,231x = 256,355,138.56
  5. Step 5: Solve for x
    x = 256,355,138.56/15,231
  6. Step 6: Final answer
    x = 16,831.14

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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.