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Finding the Fourth Proportional to 8,420.70, 11,608.41 and 5,894.97

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Solution

The fourth proportional to 8,420.70, 11,608.41 and 5,894.97 is: 8,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.70 : 11,608.41 = 5,894.97 : x
  2. Step 2: Convert to fraction form
    8,420.70/11,608.41 = 5,894.97/x
  3. Step 3: Cross multiply
    8,420.70x = 11,608.41 × 5,894.97
  4. Step 4: Simplify right side
    8,420.70x = 68,431,228.70
  5. Step 5: Solve for x
    x = 68,431,228.70/8,420.70
  6. Step 6: Final answer
    x = 8,126.55

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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.