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Finding the Fourth Proportional to 2,976.06, 4,464 and 1,221

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Solution

The fourth proportional to 2,976.06, 4,464 and 1,221 is: 1,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.06 : 4,464 = 1,221 : x
  2. Step 2: Convert to fraction form
    2,976.06/4,464 = 1,221/x
  3. Step 3: Cross multiply
    2,976.06x = 4,464 × 1,221
  4. Step 4: Simplify right side
    2,976.06x = 5,450,544
  5. Step 5: Solve for x
    x = 5,450,544/2,976.06
  6. Step 6: Final answer
    x = 1,831.46

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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.