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Finding the Fourth Proportional to 3,851.16, 5,775.24 and 1,351.68

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Solution

The fourth proportional to 3,851.16, 5,775.24 and 1,351.68 is: 2,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.16 : 5,775.24 = 1,351.68 : x
  2. Step 2: Convert to fraction form
    3,851.16/5,775.24 = 1,351.68/x
  3. Step 3: Cross multiply
    3,851.16x = 5,775.24 × 1,351.68
  4. Step 4: Simplify right side
    3,851.16x = 7,806,276.40
  5. Step 5: Solve for x
    x = 7,806,276.40/3,851.16
  6. Step 6: Final answer
    x = 2,026.99

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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.