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Finding the Fourth Proportional to 22,776.26, 31,431.29 and 12,704.45

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Solution

The fourth proportional to 22,776.26, 31,431.29 and 12,704.45 is: 17,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.26 : 31,431.29 = 12,704.45 : x
  2. Step 2: Convert to fraction form
    22,776.26/31,431.29 = 12,704.45/x
  3. Step 3: Cross multiply
    22,776.26x = 31,431.29 × 12,704.45
  4. Step 4: Simplify right side
    22,776.26x = 399,317,252.24
  5. Step 5: Solve for x
    x = 399,317,252.24/22,776.26
  6. Step 6: Final answer
    x = 17,532.17

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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.