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Finding the Fourth Proportional to 2,066.60, 3,099.36 and 680.06

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Solution

The fourth proportional to 2,066.60, 3,099.36 and 680.06 is: 1,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.60 : 3,099.36 = 680.06 : x
  2. Step 2: Convert to fraction form
    2,066.60/3,099.36 = 680.06/x
  3. Step 3: Cross multiply
    2,066.60x = 3,099.36 × 680.06
  4. Step 4: Simplify right side
    2,066.60x = 2,107,750.76
  5. Step 5: Solve for x
    x = 2,107,750.76/2,066.60
  6. Step 6: Final answer
    x = 1,019.91

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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.