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Finding the Fourth Proportional to 34,771.33, 47,978.02 and 20,433.50

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Solution

The fourth proportional to 34,771.33, 47,978.02 and 20,433.50 is: 28,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.33 : 47,978.02 = 20,433.50 : x
  2. Step 2: Convert to fraction form
    34,771.33/47,978.02 = 20,433.50/x
  3. Step 3: Cross multiply
    34,771.33x = 47,978.02 × 20,433.50
  4. Step 4: Simplify right side
    34,771.33x = 980,358,871.67
  5. Step 5: Solve for x
    x = 980,358,871.67/34,771.33
  6. Step 6: Final answer
    x = 28,194.46

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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.