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Finding the Fourth Proportional to 30,654.21, 45,982.19 and 8,467.59

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Solution

The fourth proportional to 30,654.21, 45,982.19 and 8,467.59 is: 12,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.21 : 45,982.19 = 8,467.59 : x
  2. Step 2: Convert to fraction form
    30,654.21/45,982.19 = 8,467.59/x
  3. Step 3: Cross multiply
    30,654.21x = 45,982.19 × 8,467.59
  4. Step 4: Simplify right side
    30,654.21x = 389,358,494.07
  5. Step 5: Solve for x
    x = 389,358,494.07/30,654.21
  6. Step 6: Final answer
    x = 12,701.63

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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.