Home / 1,645.51-2,271.06-982.75

Finding the Fourth Proportional to 1,645.51, 2,271.06 and 982.75

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Solution

The fourth proportional to 1,645.51, 2,271.06 and 982.75 is: 1,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.51 : 2,271.06 = 982.75 : x
  2. Step 2: Convert to fraction form
    1,645.51/2,271.06 = 982.75/x
  3. Step 3: Cross multiply
    1,645.51x = 2,271.06 × 982.75
  4. Step 4: Simplify right side
    1,645.51x = 2,231,884.22
  5. Step 5: Solve for x
    x = 2,231,884.22/1,645.51
  6. Step 6: Final answer
    x = 1,356.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.