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Finding the Fourth Proportional to 3,036, 4,190.64 and 1,932

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Solution

The fourth proportional to 3,036, 4,190.64 and 1,932 is: 2,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 4,190.64 = 1,932 : x
  2. Step 2: Convert to fraction form
    3,036/4,190.64 = 1,932/x
  3. Step 3: Cross multiply
    3,036x = 4,190.64 × 1,932
  4. Step 4: Simplify right side
    3,036x = 8,096,316.48
  5. Step 5: Solve for x
    x = 8,096,316.48/3,036
  6. Step 6: Final answer
    x = 2,666.77

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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.