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Finding the Fourth Proportional to 30,394.73, 45,594.72 and 8,208.02

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Solution

The fourth proportional to 30,394.73, 45,594.72 and 8,208.02 is: 12,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.73 : 45,594.72 = 8,208.02 : x
  2. Step 2: Convert to fraction form
    30,394.73/45,594.72 = 8,208.02/x
  3. Step 3: Cross multiply
    30,394.73x = 45,594.72 × 8,208.02
  4. Step 4: Simplify right side
    30,394.73x = 374,242,145.68
  5. Step 5: Solve for x
    x = 374,242,145.68/30,394.73
  6. Step 6: Final answer
    x = 12,312.73

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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.