Home / 1,946.12-2,918.36-713.02

Finding the Fourth Proportional to 1,946.12, 2,918.36 and 713.02

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Solution

The fourth proportional to 1,946.12, 2,918.36 and 713.02 is: 1,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.12 : 2,918.36 = 713.02 : x
  2. Step 2: Convert to fraction form
    1,946.12/2,918.36 = 713.02/x
  3. Step 3: Cross multiply
    1,946.12x = 2,918.36 × 713.02
  4. Step 4: Simplify right side
    1,946.12x = 2,080,849.05
  5. Step 5: Solve for x
    x = 2,080,849.05/1,946.12
  6. Step 6: Final answer
    x = 1,069.23

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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.