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Finding the Fourth Proportional to 5,664.06, 7,816.80 and 3,425.80

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Solution

The fourth proportional to 5,664.06, 7,816.80 and 3,425.80 is: 4,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.06 : 7,816.80 = 3,425.80 : x
  2. Step 2: Convert to fraction form
    5,664.06/7,816.80 = 3,425.80/x
  3. Step 3: Cross multiply
    5,664.06x = 7,816.80 × 3,425.80
  4. Step 4: Simplify right side
    5,664.06x = 26,778,793.44
  5. Step 5: Solve for x
    x = 26,778,793.44/5,664.06
  6. Step 6: Final answer
    x = 4,727.84

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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.