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Finding the Fourth Proportional to 8,282.41, 11,418 and 5,920.45

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Solution

The fourth proportional to 8,282.41, 11,418 and 5,920.45 is: 8,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.41 : 11,418 = 5,920.45 : x
  2. Step 2: Convert to fraction form
    8,282.41/11,418 = 5,920.45/x
  3. Step 3: Cross multiply
    8,282.41x = 11,418 × 5,920.45
  4. Step 4: Simplify right side
    8,282.41x = 67,599,698.10
  5. Step 5: Solve for x
    x = 67,599,698.10/8,282.41
  6. Step 6: Final answer
    x = 8,161.84

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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.