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Finding the Fourth Proportional to 3,747.12, 5,620.62 and 1,798.80

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Solution

The fourth proportional to 3,747.12, 5,620.62 and 1,798.80 is: 2,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.12 : 5,620.62 = 1,798.80 : x
  2. Step 2: Convert to fraction form
    3,747.12/5,620.62 = 1,798.80/x
  3. Step 3: Cross multiply
    3,747.12x = 5,620.62 × 1,798.80
  4. Step 4: Simplify right side
    3,747.12x = 10,110,371.26
  5. Step 5: Solve for x
    x = 10,110,371.26/3,747.12
  6. Step 6: Final answer
    x = 2,698.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.