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Finding the Fourth Proportional to 1,977.94, 2,969.21 and 1,156.81

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Solution

The fourth proportional to 1,977.94, 2,969.21 and 1,156.81 is: 1,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.94 : 2,969.21 = 1,156.81 : x
  2. Step 2: Convert to fraction form
    1,977.94/2,969.21 = 1,156.81/x
  3. Step 3: Cross multiply
    1,977.94x = 2,969.21 × 1,156.81
  4. Step 4: Simplify right side
    1,977.94x = 3,434,798.00
  5. Step 5: Solve for x
    x = 3,434,798.00/1,977.94
  6. Step 6: Final answer
    x = 1,736.55

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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.