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Finding the Fourth Proportional to 8,274.69, 12,412.98 and 3,831.30

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Solution

The fourth proportional to 8,274.69, 12,412.98 and 3,831.30 is: 5,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.69 : 12,412.98 = 3,831.30 : x
  2. Step 2: Convert to fraction form
    8,274.69/12,412.98 = 3,831.30/x
  3. Step 3: Cross multiply
    8,274.69x = 12,412.98 × 3,831.30
  4. Step 4: Simplify right side
    8,274.69x = 47,557,850.27
  5. Step 5: Solve for x
    x = 47,557,850.27/8,274.69
  6. Step 6: Final answer
    x = 5,747.39

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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.