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Finding the Fourth Proportional to 30,651.84, 42,305.12 and 18,077.12

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Solution

The fourth proportional to 30,651.84, 42,305.12 and 18,077.12 is: 24,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.84 : 42,305.12 = 18,077.12 : x
  2. Step 2: Convert to fraction form
    30,651.84/42,305.12 = 18,077.12/x
  3. Step 3: Cross multiply
    30,651.84x = 42,305.12 × 18,077.12
  4. Step 4: Simplify right side
    30,651.84x = 764,754,730.85
  5. Step 5: Solve for x
    x = 764,754,730.85/30,651.84
  6. Step 6: Final answer
    x = 24,949.72

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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.