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Finding the Fourth Proportional to 3,456, 5,183.82 and 1,263.06

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Solution

The fourth proportional to 3,456, 5,183.82 and 1,263.06 is: 1,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,183.82 = 1,263.06 : x
  2. Step 2: Convert to fraction form
    3,456/5,183.82 = 1,263.06/x
  3. Step 3: Cross multiply
    3,456x = 5,183.82 × 1,263.06
  4. Step 4: Simplify right side
    3,456x = 6,547,475.69
  5. Step 5: Solve for x
    x = 6,547,475.69/3,456
  6. Step 6: Final answer
    x = 1,894.52

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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.