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Finding the Fourth Proportional to 30,006.10, 45,009.16 and 7,819.42

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Solution

The fourth proportional to 30,006.10, 45,009.16 and 7,819.42 is: 11,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.10 : 45,009.16 = 7,819.42 : x
  2. Step 2: Convert to fraction form
    30,006.10/45,009.16 = 7,819.42/x
  3. Step 3: Cross multiply
    30,006.10x = 45,009.16 × 7,819.42
  4. Step 4: Simplify right side
    30,006.10x = 351,945,525.89
  5. Step 5: Solve for x
    x = 351,945,525.89/30,006.10
  6. Step 6: Final answer
    x = 11,729.13

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Similar ratio
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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.