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Finding the Fourth Proportional to 6,930.76, 10,400.24 and 2,551.29

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Solution

The fourth proportional to 6,930.76, 10,400.24 and 2,551.29 is: 3,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.76 : 10,400.24 = 2,551.29 : x
  2. Step 2: Convert to fraction form
    6,930.76/10,400.24 = 2,551.29/x
  3. Step 3: Cross multiply
    6,930.76x = 10,400.24 × 2,551.29
  4. Step 4: Simplify right side
    6,930.76x = 26,534,028.31
  5. Step 5: Solve for x
    x = 26,534,028.31/6,930.76
  6. Step 6: Final answer
    x = 3,828.44

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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.