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Finding the Fourth Proportional to 5,620.65, 7,757.74 and 4,208.68

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Solution

The fourth proportional to 5,620.65, 7,757.74 and 4,208.68 is: 5,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.65 : 7,757.74 = 4,208.68 : x
  2. Step 2: Convert to fraction form
    5,620.65/7,757.74 = 4,208.68/x
  3. Step 3: Cross multiply
    5,620.65x = 7,757.74 × 4,208.68
  4. Step 4: Simplify right side
    5,620.65x = 32,649,845.18
  5. Step 5: Solve for x
    x = 32,649,845.18/5,620.65
  6. Step 6: Final answer
    x = 5,808.91

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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.