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Finding the Fourth Proportional to 30,966.86, 42,734.28 and 16,820

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Solution

The fourth proportional to 30,966.86, 42,734.28 and 16,820 is: 23,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.86 : 42,734.28 = 16,820 : x
  2. Step 2: Convert to fraction form
    30,966.86/42,734.28 = 16,820/x
  3. Step 3: Cross multiply
    30,966.86x = 42,734.28 × 16,820
  4. Step 4: Simplify right side
    30,966.86x = 718,790,589.60
  5. Step 5: Solve for x
    x = 718,790,589.60/30,966.86
  6. Step 6: Final answer
    x = 23,211.61

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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.