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Finding the Fourth Proportional to 5,620.76, 7,758.72 and 3,382.74

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Solution

The fourth proportional to 5,620.76, 7,758.72 and 3,382.74 is: 4,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.76 : 7,758.72 = 3,382.74 : x
  2. Step 2: Convert to fraction form
    5,620.76/7,758.72 = 3,382.74/x
  3. Step 3: Cross multiply
    5,620.76x = 7,758.72 × 3,382.74
  4. Step 4: Simplify right side
    5,620.76x = 26,245,732.49
  5. Step 5: Solve for x
    x = 26,245,732.49/5,620.76
  6. Step 6: Final answer
    x = 4,669.43

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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.