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Finding the Fourth Proportional to 3,172.86, 4,758.06 and 1,224

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Solution

The fourth proportional to 3,172.86, 4,758.06 and 1,224 is: 1,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.86 : 4,758.06 = 1,224 : x
  2. Step 2: Convert to fraction form
    3,172.86/4,758.06 = 1,224/x
  3. Step 3: Cross multiply
    3,172.86x = 4,758.06 × 1,224
  4. Step 4: Simplify right side
    3,172.86x = 5,823,865.44
  5. Step 5: Solve for x
    x = 5,823,865.44/3,172.86
  6. Step 6: Final answer
    x = 1,835.53

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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.