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Finding the Fourth Proportional to 4,190.70, 5,782.37 and 2,698.32

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Solution

The fourth proportional to 4,190.70, 5,782.37 and 2,698.32 is: 3,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.70 : 5,782.37 = 2,698.32 : x
  2. Step 2: Convert to fraction form
    4,190.70/5,782.37 = 2,698.32/x
  3. Step 3: Cross multiply
    4,190.70x = 5,782.37 × 2,698.32
  4. Step 4: Simplify right side
    4,190.70x = 15,602,671.13
  5. Step 5: Solve for x
    x = 15,602,671.13/4,190.70
  6. Step 6: Final answer
    x = 3,723.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.