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Finding the Fourth Proportional to 30,034.20, 45,051.90 and 7,846.20

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Solution

The fourth proportional to 30,034.20, 45,051.90 and 7,846.20 is: 11,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.20 : 45,051.90 = 7,846.20 : x
  2. Step 2: Convert to fraction form
    30,034.20/45,051.90 = 7,846.20/x
  3. Step 3: Cross multiply
    30,034.20x = 45,051.90 × 7,846.20
  4. Step 4: Simplify right side
    30,034.20x = 353,486,217.78
  5. Step 5: Solve for x
    x = 353,486,217.78/30,034.20
  6. Step 6: Final answer
    x = 11,769.46

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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.