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Finding the Fourth Proportional to 30,969.42, 42,738 and 16,822.26

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Solution

The fourth proportional to 30,969.42, 42,738 and 16,822.26 is: 23,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.42 : 42,738 = 16,822.26 : x
  2. Step 2: Convert to fraction form
    30,969.42/42,738 = 16,822.26/x
  3. Step 3: Cross multiply
    30,969.42x = 42,738 × 16,822.26
  4. Step 4: Simplify right side
    30,969.42x = 718,949,747.88
  5. Step 5: Solve for x
    x = 718,949,747.88/30,969.42
  6. Step 6: Final answer
    x = 23,214.83

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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.