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Finding the Fourth Proportional to 30,147.44, 45,221.15 and 10,415.22

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Solution

The fourth proportional to 30,147.44, 45,221.15 and 10,415.22 is: 15,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.44 : 45,221.15 = 10,415.22 : x
  2. Step 2: Convert to fraction form
    30,147.44/45,221.15 = 10,415.22/x
  3. Step 3: Cross multiply
    30,147.44x = 45,221.15 × 10,415.22
  4. Step 4: Simplify right side
    30,147.44x = 470,988,173.83
  5. Step 5: Solve for x
    x = 470,988,173.83/30,147.44
  6. Step 6: Final answer
    x = 15,622.83

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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.