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Finding the Fourth Proportional to 30,819.92, 46,143.96 and 19,699.16

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Solution

The fourth proportional to 30,819.92, 46,143.96 and 19,699.16 is: 29,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.92 : 46,143.96 = 19,699.16 : x
  2. Step 2: Convert to fraction form
    30,819.92/46,143.96 = 19,699.16/x
  3. Step 3: Cross multiply
    30,819.92x = 46,143.96 × 19,699.16
  4. Step 4: Simplify right side
    30,819.92x = 908,997,251.07
  5. Step 5: Solve for x
    x = 908,997,251.07/30,819.92
  6. Step 6: Final answer
    x = 29,493.82

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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.