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Finding the Fourth Proportional to 6,390.62, 9,572.06 and 3,096.80

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Solution

The fourth proportional to 6,390.62, 9,572.06 and 3,096.80 is: 4,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.62 : 9,572.06 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    6,390.62/9,572.06 = 3,096.80/x
  3. Step 3: Cross multiply
    6,390.62x = 9,572.06 × 3,096.80
  4. Step 4: Simplify right side
    6,390.62x = 29,642,692.06
  5. Step 5: Solve for x
    x = 29,642,692.06/6,390.62
  6. Step 6: Final answer
    x = 4,638.47

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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.