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Finding the Fourth Proportional to 30,006.09, 45,009.15 and 7,819.41

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Solution

The fourth proportional to 30,006.09, 45,009.15 and 7,819.41 is: 11,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.09 : 45,009.15 = 7,819.41 : x
  2. Step 2: Convert to fraction form
    30,006.09/45,009.15 = 7,819.41/x
  3. Step 3: Cross multiply
    30,006.09x = 45,009.15 × 7,819.41
  4. Step 4: Simplify right side
    30,006.09x = 351,944,997.60
  5. Step 5: Solve for x
    x = 351,944,997.60/30,006.09
  6. Step 6: Final answer
    x = 11,729.12

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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.