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Finding the Fourth Proportional to 30,511.83, 45,766.38 and 8,325.14

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Solution

The fourth proportional to 30,511.83, 45,766.38 and 8,325.14 is: 12,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.83 : 45,766.38 = 8,325.14 : x
  2. Step 2: Convert to fraction form
    30,511.83/45,766.38 = 8,325.14/x
  3. Step 3: Cross multiply
    30,511.83x = 45,766.38 × 8,325.14
  4. Step 4: Simplify right side
    30,511.83x = 381,011,291.96
  5. Step 5: Solve for x
    x = 381,011,291.96/30,511.83
  6. Step 6: Final answer
    x = 12,487.33

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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.