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Finding the Fourth Proportional to 3,980.49, 5,968.80 and 1,206.66

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Solution

The fourth proportional to 3,980.49, 5,968.80 and 1,206.66 is: 1,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.49 : 5,968.80 = 1,206.66 : x
  2. Step 2: Convert to fraction form
    3,980.49/5,968.80 = 1,206.66/x
  3. Step 3: Cross multiply
    3,980.49x = 5,968.80 × 1,206.66
  4. Step 4: Simplify right side
    3,980.49x = 7,202,312.21
  5. Step 5: Solve for x
    x = 7,202,312.21/3,980.49
  6. Step 6: Final answer
    x = 1,809.40

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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.