Home / 1,448.74-2,164.83-982.63

Finding the Fourth Proportional to 1,448.74, 2,164.83 and 982.63

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Solution

The fourth proportional to 1,448.74, 2,164.83 and 982.63 is: 1,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.74 : 2,164.83 = 982.63 : x
  2. Step 2: Convert to fraction form
    1,448.74/2,164.83 = 982.63/x
  3. Step 3: Cross multiply
    1,448.74x = 2,164.83 × 982.63
  4. Step 4: Simplify right side
    1,448.74x = 2,127,225.92
  5. Step 5: Solve for x
    x = 2,127,225.92/1,448.74
  6. Step 6: Final answer
    x = 1,468.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.