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Finding the Fourth Proportional to 5,204.76, 7,809.30 and 3,129

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Solution

The fourth proportional to 5,204.76, 7,809.30 and 3,129 is: 4,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.76 : 7,809.30 = 3,129 : x
  2. Step 2: Convert to fraction form
    5,204.76/7,809.30 = 3,129/x
  3. Step 3: Cross multiply
    5,204.76x = 7,809.30 × 3,129
  4. Step 4: Simplify right side
    5,204.76x = 24,435,299.70
  5. Step 5: Solve for x
    x = 24,435,299.70/5,204.76
  6. Step 6: Final answer
    x = 4,694.80

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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.