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Finding the Fourth Proportional to 31,442.70, 43,390.27 and 17,102.82

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Solution

The fourth proportional to 31,442.70, 43,390.27 and 17,102.82 is: 23,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.70 : 43,390.27 = 17,102.82 : x
  2. Step 2: Convert to fraction form
    31,442.70/43,390.27 = 17,102.82/x
  3. Step 3: Cross multiply
    31,442.70x = 43,390.27 × 17,102.82
  4. Step 4: Simplify right side
    31,442.70x = 742,095,977.56
  5. Step 5: Solve for x
    x = 742,095,977.56/31,442.70
  6. Step 6: Final answer
    x = 23,601.53

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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.