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Finding the Fourth Proportional to 3,999.34, 5,989.29 and 3,072.70

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Solution

The fourth proportional to 3,999.34, 5,989.29 and 3,072.70 is: 4,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.34 : 5,989.29 = 3,072.70 : x
  2. Step 2: Convert to fraction form
    3,999.34/5,989.29 = 3,072.70/x
  3. Step 3: Cross multiply
    3,999.34x = 5,989.29 × 3,072.70
  4. Step 4: Simplify right side
    3,999.34x = 18,403,291.38
  5. Step 5: Solve for x
    x = 18,403,291.38/3,999.34
  6. Step 6: Final answer
    x = 4,601.58

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1.5x scale

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.