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Finding the Fourth Proportional to 1,984.16, 2,738.04 and 1,145

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Solution

The fourth proportional to 1,984.16, 2,738.04 and 1,145 is: 1,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.16 : 2,738.04 = 1,145 : x
  2. Step 2: Convert to fraction form
    1,984.16/2,738.04 = 1,145/x
  3. Step 3: Cross multiply
    1,984.16x = 2,738.04 × 1,145
  4. Step 4: Simplify right side
    1,984.16x = 3,135,055.80
  5. Step 5: Solve for x
    x = 3,135,055.80/1,984.16
  6. Step 6: Final answer
    x = 1,580.04

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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.