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Finding the Fourth Proportional to 2,474, 3,707.76 and 1,378.88

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Solution

The fourth proportional to 2,474, 3,707.76 and 1,378.88 is: 2,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474 : 3,707.76 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    2,474/3,707.76 = 1,378.88/x
  3. Step 3: Cross multiply
    2,474x = 3,707.76 × 1,378.88
  4. Step 4: Simplify right side
    2,474x = 5,112,556.11
  5. Step 5: Solve for x
    x = 5,112,556.11/2,474
  6. Step 6: Final answer
    x = 2,066.51

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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.