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Finding the Fourth Proportional to 9,707.49, 13,396.28 and 5,515.74

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Solution

The fourth proportional to 9,707.49, 13,396.28 and 5,515.74 is: 7,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.49 : 13,396.28 = 5,515.74 : x
  2. Step 2: Convert to fraction form
    9,707.49/13,396.28 = 5,515.74/x
  3. Step 3: Cross multiply
    9,707.49x = 13,396.28 × 5,515.74
  4. Step 4: Simplify right side
    9,707.49x = 73,890,369.87
  5. Step 5: Solve for x
    x = 73,890,369.87/9,707.49
  6. Step 6: Final answer
    x = 7,611.69

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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.