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Finding the Fourth Proportional to 3,036, 4,189.81 and 1,709.78

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Solution

The fourth proportional to 3,036, 4,189.81 and 1,709.78 is: 2,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 4,189.81 = 1,709.78 : x
  2. Step 2: Convert to fraction form
    3,036/4,189.81 = 1,709.78/x
  3. Step 3: Cross multiply
    3,036x = 4,189.81 × 1,709.78
  4. Step 4: Simplify right side
    3,036x = 7,163,653.34
  5. Step 5: Solve for x
    x = 7,163,653.34/3,036
  6. Step 6: Final answer
    x = 2,359.57

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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.