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Finding the Fourth Proportional to 30,038, 45,057.08 and 8,150

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Solution

The fourth proportional to 30,038, 45,057.08 and 8,150 is: 12,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038 : 45,057.08 = 8,150 : x
  2. Step 2: Convert to fraction form
    30,038/45,057.08 = 8,150/x
  3. Step 3: Cross multiply
    30,038x = 45,057.08 × 8,150
  4. Step 4: Simplify right side
    30,038x = 367,215,202
  5. Step 5: Solve for x
    x = 367,215,202/30,038
  6. Step 6: Final answer
    x = 12,225.02

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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.