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Finding the Fourth Proportional to 30,397.73, 45,599.22 and 8,211.02

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Solution

The fourth proportional to 30,397.73, 45,599.22 and 8,211.02 is: 12,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.73 : 45,599.22 = 8,211.02 : x
  2. Step 2: Convert to fraction form
    30,397.73/45,599.22 = 8,211.02/x
  3. Step 3: Cross multiply
    30,397.73x = 45,599.22 × 8,211.02
  4. Step 4: Simplify right side
    30,397.73x = 374,415,879.41
  5. Step 5: Solve for x
    x = 374,415,879.41/30,397.73
  6. Step 6: Final answer
    x = 12,317.23

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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.