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Finding the Fourth Proportional to 3,318.15, 4,976.67 and 946.06

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Solution

The fourth proportional to 3,318.15, 4,976.67 and 946.06 is: 1,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.15 : 4,976.67 = 946.06 : x
  2. Step 2: Convert to fraction form
    3,318.15/4,976.67 = 946.06/x
  3. Step 3: Cross multiply
    3,318.15x = 4,976.67 × 946.06
  4. Step 4: Simplify right side
    3,318.15x = 4,708,228.42
  5. Step 5: Solve for x
    x = 4,708,228.42/3,318.15
  6. Step 6: Final answer
    x = 1,418.93

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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.