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Finding the Fourth Proportional to 2,749.47, 3,792.15 and 1,910.16

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Solution

The fourth proportional to 2,749.47, 3,792.15 and 1,910.16 is: 2,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.47 : 3,792.15 = 1,910.16 : x
  2. Step 2: Convert to fraction form
    2,749.47/3,792.15 = 1,910.16/x
  3. Step 3: Cross multiply
    2,749.47x = 3,792.15 × 1,910.16
  4. Step 4: Simplify right side
    2,749.47x = 7,243,613.24
  5. Step 5: Solve for x
    x = 7,243,613.24/2,749.47
  6. Step 6: Final answer
    x = 2,634.55

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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.