Home / 1,698.34-2,546.58-919.26

Finding the Fourth Proportional to 1,698.34, 2,546.58 and 919.26

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Solution

The fourth proportional to 1,698.34, 2,546.58 and 919.26 is: 1,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.34 : 2,546.58 = 919.26 : x
  2. Step 2: Convert to fraction form
    1,698.34/2,546.58 = 919.26/x
  3. Step 3: Cross multiply
    1,698.34x = 2,546.58 × 919.26
  4. Step 4: Simplify right side
    1,698.34x = 2,340,969.13
  5. Step 5: Solve for x
    x = 2,340,969.13/1,698.34
  6. Step 6: Final answer
    x = 1,378.39

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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.