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Finding the Fourth Proportional to 30,914.73, 42,662.12 and 16,767.59

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Solution

The fourth proportional to 30,914.73, 42,662.12 and 16,767.59 is: 23,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.73 : 42,662.12 = 16,767.59 : x
  2. Step 2: Convert to fraction form
    30,914.73/42,662.12 = 16,767.59/x
  3. Step 3: Cross multiply
    30,914.73x = 42,662.12 × 16,767.59
  4. Step 4: Simplify right side
    30,914.73x = 715,340,639.54
  5. Step 5: Solve for x
    x = 715,340,639.54/30,914.73
  6. Step 6: Final answer
    x = 23,139.15

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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.