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Finding the Fourth Proportional to 5,771.50, 7,964.67 and 3,287.98

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Solution

The fourth proportional to 5,771.50, 7,964.67 and 3,287.98 is: 4,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.50 : 7,964.67 = 3,287.98 : x
  2. Step 2: Convert to fraction form
    5,771.50/7,964.67 = 3,287.98/x
  3. Step 3: Cross multiply
    5,771.50x = 7,964.67 × 3,287.98
  4. Step 4: Simplify right side
    5,771.50x = 26,187,675.67
  5. Step 5: Solve for x
    x = 26,187,675.67/5,771.50
  6. Step 6: Final answer
    x = 4,537.41

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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.