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Finding the Fourth Proportional to 30,992.90, 42,787.78 and 23,711.31

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Solution

The fourth proportional to 30,992.90, 42,787.78 and 23,711.31 is: 32,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.90 : 42,787.78 = 23,711.31 : x
  2. Step 2: Convert to fraction form
    30,992.90/42,787.78 = 23,711.31/x
  3. Step 3: Cross multiply
    30,992.90x = 42,787.78 × 23,711.31
  4. Step 4: Simplify right side
    30,992.90x = 1,014,554,236.20
  5. Step 5: Solve for x
    x = 1,014,554,236.20/30,992.90
  6. Step 6: Final answer
    x = 32,735.05

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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.