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Finding the Fourth Proportional to 30,097.92, 45,147.20 and 8,209.92

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Solution

The fourth proportional to 30,097.92, 45,147.20 and 8,209.92 is: 12,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.92 : 45,147.20 = 8,209.92 : x
  2. Step 2: Convert to fraction form
    30,097.92/45,147.20 = 8,209.92/x
  3. Step 3: Cross multiply
    30,097.92x = 45,147.20 × 8,209.92
  4. Step 4: Simplify right side
    30,097.92x = 370,654,900.22
  5. Step 5: Solve for x
    x = 370,654,900.22/30,097.92
  6. Step 6: Final answer
    x = 12,314.97

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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.