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Finding the Fourth Proportional to 30,960, 42,724.38 and 16,813.38

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Solution

The fourth proportional to 30,960, 42,724.38 and 16,813.38 is: 23,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 42,724.38 = 16,813.38 : x
  2. Step 2: Convert to fraction form
    30,960/42,724.38 = 16,813.38/x
  3. Step 3: Cross multiply
    30,960x = 42,724.38 × 16,813.38
  4. Step 4: Simplify right side
    30,960x = 718,341,236.20
  5. Step 5: Solve for x
    x = 718,341,236.20/30,960
  6. Step 6: Final answer
    x = 23,202.24

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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.