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Finding the Fourth Proportional to 34,771.50, 47,984.16 and 18,855.60

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Solution

The fourth proportional to 34,771.50, 47,984.16 and 18,855.60 is: 26,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.50 : 47,984.16 = 18,855.60 : x
  2. Step 2: Convert to fraction form
    34,771.50/47,984.16 = 18,855.60/x
  3. Step 3: Cross multiply
    34,771.50x = 47,984.16 × 18,855.60
  4. Step 4: Simplify right side
    34,771.50x = 904,770,127.30
  5. Step 5: Solve for x
    x = 904,770,127.30/34,771.50
  6. Step 6: Final answer
    x = 26,020.45

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1.5x scale

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.