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Finding the Fourth Proportional to 3,066.78, 4,600.88 and 1,119

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Solution

The fourth proportional to 3,066.78, 4,600.88 and 1,119 is: 1,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.78 : 4,600.88 = 1,119 : x
  2. Step 2: Convert to fraction form
    3,066.78/4,600.88 = 1,119/x
  3. Step 3: Cross multiply
    3,066.78x = 4,600.88 × 1,119
  4. Step 4: Simplify right side
    3,066.78x = 5,148,384.72
  5. Step 5: Solve for x
    x = 5,148,384.72/3,066.78
  6. Step 6: Final answer
    x = 1,678.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.