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Finding the Fourth Proportional to 20,710.92, 31,040.44 and 16,311

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Solution

The fourth proportional to 20,710.92, 31,040.44 and 16,311 is: 24,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.92 : 31,040.44 = 16,311 : x
  2. Step 2: Convert to fraction form
    20,710.92/31,040.44 = 16,311/x
  3. Step 3: Cross multiply
    20,710.92x = 31,040.44 × 16,311
  4. Step 4: Simplify right side
    20,710.92x = 506,300,616.84
  5. Step 5: Solve for x
    x = 506,300,616.84/20,710.92
  6. Step 6: Final answer
    x = 24,446.07

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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.