Home / 2,774.25-4,159.78-1,313.40

Finding the Fourth Proportional to 2,774.25, 4,159.78 and 1,313.40

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Solution

The fourth proportional to 2,774.25, 4,159.78 and 1,313.40 is: 1,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.25 : 4,159.78 = 1,313.40 : x
  2. Step 2: Convert to fraction form
    2,774.25/4,159.78 = 1,313.40/x
  3. Step 3: Cross multiply
    2,774.25x = 4,159.78 × 1,313.40
  4. Step 4: Simplify right side
    2,774.25x = 5,463,455.05
  5. Step 5: Solve for x
    x = 5,463,455.05/2,774.25
  6. Step 6: Final answer
    x = 1,969.34

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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.