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Finding the Fourth Proportional to 3,105.16, 4,658.02 and 884.02

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Solution

The fourth proportional to 3,105.16, 4,658.02 and 884.02 is: 1,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.16 : 4,658.02 = 884.02 : x
  2. Step 2: Convert to fraction form
    3,105.16/4,658.02 = 884.02/x
  3. Step 3: Cross multiply
    3,105.16x = 4,658.02 × 884.02
  4. Step 4: Simplify right side
    3,105.16x = 4,117,782.84
  5. Step 5: Solve for x
    x = 4,117,782.84/3,105.16
  6. Step 6: Final answer
    x = 1,326.11

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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.