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Finding the Fourth Proportional to 2,813.94, 3,884.81 and 1,977.21

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Solution

The fourth proportional to 2,813.94, 3,884.81 and 1,977.21 is: 2,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.94 : 3,884.81 = 1,977.21 : x
  2. Step 2: Convert to fraction form
    2,813.94/3,884.81 = 1,977.21/x
  3. Step 3: Cross multiply
    2,813.94x = 3,884.81 × 1,977.21
  4. Step 4: Simplify right side
    2,813.94x = 7,681,075.29
  5. Step 5: Solve for x
    x = 7,681,075.29/2,813.94
  6. Step 6: Final answer
    x = 2,729.65

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1.5x scale

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.