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Finding the Fourth Proportional to 3,703.60, 5,109.92 and 2,288.42

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Solution

The fourth proportional to 3,703.60, 5,109.92 and 2,288.42 is: 3,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.60 : 5,109.92 = 2,288.42 : x
  2. Step 2: Convert to fraction form
    3,703.60/5,109.92 = 2,288.42/x
  3. Step 3: Cross multiply
    3,703.60x = 5,109.92 × 2,288.42
  4. Step 4: Simplify right side
    3,703.60x = 11,693,643.13
  5. Step 5: Solve for x
    x = 11,693,643.13/3,703.60
  6. Step 6: Final answer
    x = 3,157.37

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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.