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Finding the Fourth Proportional to 8,343.06, 11,512.90 and 4,984.80

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Solution

The fourth proportional to 8,343.06, 11,512.90 and 4,984.80 is: 6,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.06 : 11,512.90 = 4,984.80 : x
  2. Step 2: Convert to fraction form
    8,343.06/11,512.90 = 4,984.80/x
  3. Step 3: Cross multiply
    8,343.06x = 11,512.90 × 4,984.80
  4. Step 4: Simplify right side
    8,343.06x = 57,389,503.92
  5. Step 5: Solve for x
    x = 57,389,503.92/8,343.06
  6. Step 6: Final answer
    x = 6,878.71

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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.