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Finding the Fourth Proportional to 1,995.04, 2,990.64 and 968.48

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Solution

The fourth proportional to 1,995.04, 2,990.64 and 968.48 is: 1,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.04 : 2,990.64 = 968.48 : x
  2. Step 2: Convert to fraction form
    1,995.04/2,990.64 = 968.48/x
  3. Step 3: Cross multiply
    1,995.04x = 2,990.64 × 968.48
  4. Step 4: Simplify right side
    1,995.04x = 2,896,375.03
  5. Step 5: Solve for x
    x = 2,896,375.03/1,995.04
  6. Step 6: Final answer
    x = 1,451.79

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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.