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Finding the Fourth Proportional to 6,408.20, 9,602.56 and 4,757

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Solution

The fourth proportional to 6,408.20, 9,602.56 and 4,757 is: 7,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.20 : 9,602.56 = 4,757 : x
  2. Step 2: Convert to fraction form
    6,408.20/9,602.56 = 4,757/x
  3. Step 3: Cross multiply
    6,408.20x = 9,602.56 × 4,757
  4. Step 4: Simplify right side
    6,408.20x = 45,679,377.92
  5. Step 5: Solve for x
    x = 45,679,377.92/6,408.20
  6. Step 6: Final answer
    x = 7,128.27

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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.