Home / 2,159.06-3,238.66-698.02

Finding the Fourth Proportional to 2,159.06, 3,238.66 and 698.02

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Solution

The fourth proportional to 2,159.06, 3,238.66 and 698.02 is: 1,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.06 : 3,238.66 = 698.02 : x
  2. Step 2: Convert to fraction form
    2,159.06/3,238.66 = 698.02/x
  3. Step 3: Cross multiply
    2,159.06x = 3,238.66 × 698.02
  4. Step 4: Simplify right side
    2,159.06x = 2,260,649.45
  5. Step 5: Solve for x
    x = 2,260,649.45/2,159.06
  6. Step 6: Final answer
    x = 1,047.05

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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.