Home / 1,977.09-2,969.72-1,569.09

Finding the Fourth Proportional to 1,977.09, 2,969.72 and 1,569.09

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Solution

The fourth proportional to 1,977.09, 2,969.72 and 1,569.09 is: 2,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.09 : 2,969.72 = 1,569.09 : x
  2. Step 2: Convert to fraction form
    1,977.09/2,969.72 = 1,569.09/x
  3. Step 3: Cross multiply
    1,977.09x = 2,969.72 × 1,569.09
  4. Step 4: Simplify right side
    1,977.09x = 4,659,757.95
  5. Step 5: Solve for x
    x = 4,659,757.95/1,977.09
  6. Step 6: Final answer
    x = 2,356.88

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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.