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Finding the Fourth Proportional to 3,969.81, 5,955.93 and 1,777.14

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Solution

The fourth proportional to 3,969.81, 5,955.93 and 1,777.14 is: 2,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.81 : 5,955.93 = 1,777.14 : x
  2. Step 2: Convert to fraction form
    3,969.81/5,955.93 = 1,777.14/x
  3. Step 3: Cross multiply
    3,969.81x = 5,955.93 × 1,777.14
  4. Step 4: Simplify right side
    3,969.81x = 10,584,521.44
  5. Step 5: Solve for x
    x = 10,584,521.44/3,969.81
  6. Step 6: Final answer
    x = 2,666.25

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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.