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Finding the Fourth Proportional to 6,962.76, 9,603 and 6,121.68

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Solution

The fourth proportional to 6,962.76, 9,603 and 6,121.68 is: 8,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.76 : 9,603 = 6,121.68 : x
  2. Step 2: Convert to fraction form
    6,962.76/9,603 = 6,121.68/x
  3. Step 3: Cross multiply
    6,962.76x = 9,603 × 6,121.68
  4. Step 4: Simplify right side
    6,962.76x = 58,786,493.04
  5. Step 5: Solve for x
    x = 58,786,493.04/6,962.76
  6. Step 6: Final answer
    x = 8,442.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.