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Finding the Fourth Proportional to 5,629, 7,768.02 and 3,145

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Solution

The fourth proportional to 5,629, 7,768.02 and 3,145 is: 4,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629 : 7,768.02 = 3,145 : x
  2. Step 2: Convert to fraction form
    5,629/7,768.02 = 3,145/x
  3. Step 3: Cross multiply
    5,629x = 7,768.02 × 3,145
  4. Step 4: Simplify right side
    5,629x = 24,430,422.90
  5. Step 5: Solve for x
    x = 24,430,422.90/5,629
  6. Step 6: Final answer
    x = 4,340.10

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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.