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Finding the Fourth Proportional to 5,620.46, 7,751.27 and 3,830.82

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Solution

The fourth proportional to 5,620.46, 7,751.27 and 3,830.82 is: 5,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.46 : 7,751.27 = 3,830.82 : x
  2. Step 2: Convert to fraction form
    5,620.46/7,751.27 = 3,830.82/x
  3. Step 3: Cross multiply
    5,620.46x = 7,751.27 × 3,830.82
  4. Step 4: Simplify right side
    5,620.46x = 29,693,720.14
  5. Step 5: Solve for x
    x = 29,693,720.14/5,620.46
  6. Step 6: Final answer
    x = 5,283.15

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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.