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Finding the Fourth Proportional to 22,951, 31,672.38 and 13,015

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Solution

The fourth proportional to 22,951, 31,672.38 and 13,015 is: 17,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951 : 31,672.38 = 13,015 : x
  2. Step 2: Convert to fraction form
    22,951/31,672.38 = 13,015/x
  3. Step 3: Cross multiply
    22,951x = 31,672.38 × 13,015
  4. Step 4: Simplify right side
    22,951x = 412,216,025.70
  5. Step 5: Solve for x
    x = 412,216,025.70/22,951
  6. Step 6: Final answer
    x = 17,960.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.