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Finding the Fourth Proportional to 30,205.92, 45,303.62 and 8,020.42

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Solution

The fourth proportional to 30,205.92, 45,303.62 and 8,020.42 is: 12,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.92 : 45,303.62 = 8,020.42 : x
  2. Step 2: Convert to fraction form
    30,205.92/45,303.62 = 8,020.42/x
  3. Step 3: Cross multiply
    30,205.92x = 45,303.62 × 8,020.42
  4. Step 4: Simplify right side
    30,205.92x = 363,354,059.92
  5. Step 5: Solve for x
    x = 363,354,059.92/30,205.92
  6. Step 6: Final answer
    x = 12,029.23

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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.