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Finding the Fourth Proportional to 2,790, 3,850.20 and 1,740.72

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Solution

The fourth proportional to 2,790, 3,850.20 and 1,740.72 is: 2,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 3,850.20 = 1,740.72 : x
  2. Step 2: Convert to fraction form
    2,790/3,850.20 = 1,740.72/x
  3. Step 3: Cross multiply
    2,790x = 3,850.20 × 1,740.72
  4. Step 4: Simplify right side
    2,790x = 6,702,120.14
  5. Step 5: Solve for x
    x = 6,702,120.14/2,790
  6. Step 6: Final answer
    x = 2,402.19

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Why These Related Problems?

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