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Finding the Fourth Proportional to 47,783.74, 65,971.05 and 30,793.98

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Solution

The fourth proportional to 47,783.74, 65,971.05 and 30,793.98 is: 42,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.74 : 65,971.05 = 30,793.98 : x
  2. Step 2: Convert to fraction form
    47,783.74/65,971.05 = 30,793.98/x
  3. Step 3: Cross multiply
    47,783.74x = 65,971.05 × 30,793.98
  4. Step 4: Simplify right side
    47,783.74x = 2,031,511,194.28
  5. Step 5: Solve for x
    x = 2,031,511,194.28/47,783.74
  6. Step 6: Final answer
    x = 42,514.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.