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Finding the Fourth Proportional to 9,617.13, 13,279.95 and 7,400.97

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Solution

The fourth proportional to 9,617.13, 13,279.95 and 7,400.97 is: 10,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.13 : 13,279.95 = 7,400.97 : x
  2. Step 2: Convert to fraction form
    9,617.13/13,279.95 = 7,400.97/x
  3. Step 3: Cross multiply
    9,617.13x = 13,279.95 × 7,400.97
  4. Step 4: Simplify right side
    9,617.13x = 98,284,511.55
  5. Step 5: Solve for x
    x = 98,284,511.55/9,617.13
  6. Step 6: Final answer
    x = 10,219.73

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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.