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Finding the Fourth Proportional to 30,204.40, 45,306.60 and 8,021.20

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Solution

The fourth proportional to 30,204.40, 45,306.60 and 8,021.20 is: 12,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.40 : 45,306.60 = 8,021.20 : x
  2. Step 2: Convert to fraction form
    30,204.40/45,306.60 = 8,021.20/x
  3. Step 3: Cross multiply
    30,204.40x = 45,306.60 × 8,021.20
  4. Step 4: Simplify right side
    30,204.40x = 363,413,299.92
  5. Step 5: Solve for x
    x = 363,413,299.92/30,204.40
  6. Step 6: Final answer
    x = 12,031.80

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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.