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Finding the Fourth Proportional to 3,490.97, 5,237.46 and 1,847.31

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Solution

The fourth proportional to 3,490.97, 5,237.46 and 1,847.31 is: 2,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.97 : 5,237.46 = 1,847.31 : x
  2. Step 2: Convert to fraction form
    3,490.97/5,237.46 = 1,847.31/x
  3. Step 3: Cross multiply
    3,490.97x = 5,237.46 × 1,847.31
  4. Step 4: Simplify right side
    3,490.97x = 9,675,192.59
  5. Step 5: Solve for x
    x = 9,675,192.59/3,490.97
  6. Step 6: Final answer
    x = 2,771.50

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Double scale
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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.