Home / 1,395.10-2,090.35-982.23

Finding the Fourth Proportional to 1,395.10, 2,090.35 and 982.23

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Solution

The fourth proportional to 1,395.10, 2,090.35 and 982.23 is: 1,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.10 : 2,090.35 = 982.23 : x
  2. Step 2: Convert to fraction form
    1,395.10/2,090.35 = 982.23/x
  3. Step 3: Cross multiply
    1,395.10x = 2,090.35 × 982.23
  4. Step 4: Simplify right side
    1,395.10x = 2,053,197.87
  5. Step 5: Solve for x
    x = 2,053,197.87/1,395.10
  6. Step 6: Final answer
    x = 1,471.72

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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.