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Finding the Fourth Proportional to 30,272.25, 45,408.86 and 8,384.25

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Solution

The fourth proportional to 30,272.25, 45,408.86 and 8,384.25 is: 12,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.25 : 45,408.86 = 8,384.25 : x
  2. Step 2: Convert to fraction form
    30,272.25/45,408.86 = 8,384.25/x
  3. Step 3: Cross multiply
    30,272.25x = 45,408.86 × 8,384.25
  4. Step 4: Simplify right side
    30,272.25x = 380,719,192.53
  5. Step 5: Solve for x
    x = 380,719,192.53/30,272.25
  6. Step 6: Final answer
    x = 12,576.51

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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.