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Finding the Fourth Proportional to 1,980.36, 2,968.38 and 883.23

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Solution

The fourth proportional to 1,980.36, 2,968.38 and 883.23 is: 1,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.36 : 2,968.38 = 883.23 : x
  2. Step 2: Convert to fraction form
    1,980.36/2,968.38 = 883.23/x
  3. Step 3: Cross multiply
    1,980.36x = 2,968.38 × 883.23
  4. Step 4: Simplify right side
    1,980.36x = 2,621,762.27
  5. Step 5: Solve for x
    x = 2,621,762.27/1,980.36
  6. Step 6: Final answer
    x = 1,323.88

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1.5x scale

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.