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Finding the Fourth Proportional to 2,047.16, 3,068.00 and 1,121.33

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Solution

The fourth proportional to 2,047.16, 3,068.00 and 1,121.33 is: 1,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.16 : 3,068.00 = 1,121.33 : x
  2. Step 2: Convert to fraction form
    2,047.16/3,068.00 = 1,121.33/x
  3. Step 3: Cross multiply
    2,047.16x = 3,068.00 × 1,121.33
  4. Step 4: Simplify right side
    2,047.16x = 3,440,219.49
  5. Step 5: Solve for x
    x = 3,440,219.49/2,047.16
  6. Step 6: Final answer
    x = 1,680.49

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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.