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Finding the Fourth Proportional to 30,981.84, 46,357.92 and 18,508.68

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Solution

The fourth proportional to 30,981.84, 46,357.92 and 18,508.68 is: 27,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.84 : 46,357.92 = 18,508.68 : x
  2. Step 2: Convert to fraction form
    30,981.84/46,357.92 = 18,508.68/x
  3. Step 3: Cross multiply
    30,981.84x = 46,357.92 × 18,508.68
  4. Step 4: Simplify right side
    30,981.84x = 858,023,906.75
  5. Step 5: Solve for x
    x = 858,023,906.75/30,981.84
  6. Step 6: Final answer
    x = 27,694.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.