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Finding the Fourth Proportional to 9,611.78, 13,264.29 and 5,635.22

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Solution

The fourth proportional to 9,611.78, 13,264.29 and 5,635.22 is: 7,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.78 : 13,264.29 = 5,635.22 : x
  2. Step 2: Convert to fraction form
    9,611.78/13,264.29 = 5,635.22/x
  3. Step 3: Cross multiply
    9,611.78x = 13,264.29 × 5,635.22
  4. Step 4: Simplify right side
    9,611.78x = 74,747,125.97
  5. Step 5: Solve for x
    x = 74,747,125.97/9,611.78
  6. Step 6: Final answer
    x = 7,776.62

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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.