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Finding the Fourth Proportional to 23,170.70, 31,975.29 and 12,560.21

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Solution

The fourth proportional to 23,170.70, 31,975.29 and 12,560.21 is: 17,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170.70 : 31,975.29 = 12,560.21 : x
  2. Step 2: Convert to fraction form
    23,170.70/31,975.29 = 12,560.21/x
  3. Step 3: Cross multiply
    23,170.70x = 31,975.29 × 12,560.21
  4. Step 4: Simplify right side
    23,170.70x = 401,616,317.24
  5. Step 5: Solve for x
    x = 401,616,317.24/23,170.70
  6. Step 6: Final answer
    x = 17,332.94

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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.