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Finding the Fourth Proportional to 3,066, 4,599.12 and 1,218

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Solution

The fourth proportional to 3,066, 4,599.12 and 1,218 is: 1,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,599.12 = 1,218 : x
  2. Step 2: Convert to fraction form
    3,066/4,599.12 = 1,218/x
  3. Step 3: Cross multiply
    3,066x = 4,599.12 × 1,218
  4. Step 4: Simplify right side
    3,066x = 5,601,728.16
  5. Step 5: Solve for x
    x = 5,601,728.16/3,066
  6. Step 6: Final answer
    x = 1,827.05

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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.