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Finding the Fourth Proportional to 12,831.62, 19,239.12 and 8,435.75

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Solution

The fourth proportional to 12,831.62, 19,239.12 and 8,435.75 is: 12,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.62 : 19,239.12 = 8,435.75 : x
  2. Step 2: Convert to fraction form
    12,831.62/19,239.12 = 8,435.75/x
  3. Step 3: Cross multiply
    12,831.62x = 19,239.12 × 8,435.75
  4. Step 4: Simplify right side
    12,831.62x = 162,296,310.34
  5. Step 5: Solve for x
    x = 162,296,310.34/12,831.62
  6. Step 6: Final answer
    x = 12,648.16

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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.