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Finding the Fourth Proportional to 30,251.71, 41,747.16 and 16,822.86

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Solution

The fourth proportional to 30,251.71, 41,747.16 and 16,822.86 is: 23,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.71 : 41,747.16 = 16,822.86 : x
  2. Step 2: Convert to fraction form
    30,251.71/41,747.16 = 16,822.86/x
  3. Step 3: Cross multiply
    30,251.71x = 41,747.16 × 16,822.86
  4. Step 4: Simplify right side
    30,251.71x = 702,306,628.08
  5. Step 5: Solve for x
    x = 702,306,628.08/30,251.71
  6. Step 6: Final answer
    x = 23,215.44

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1.5x scale

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.