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Finding the Fourth Proportional to 30,682, 45,995.52 and 10,957.72

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Solution

The fourth proportional to 30,682, 45,995.52 and 10,957.72 is: 16,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682 : 45,995.52 = 10,957.72 : x
  2. Step 2: Convert to fraction form
    30,682/45,995.52 = 10,957.72/x
  3. Step 3: Cross multiply
    30,682x = 45,995.52 × 10,957.72
  4. Step 4: Simplify right side
    30,682x = 504,006,029.41
  5. Step 5: Solve for x
    x = 504,006,029.41/30,682
  6. Step 6: Final answer
    x = 16,426.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.