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Finding the Fourth Proportional to 3,749.82, 5,623.38 and 1,284

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Solution

The fourth proportional to 3,749.82, 5,623.38 and 1,284 is: 1,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.82 : 5,623.38 = 1,284 : x
  2. Step 2: Convert to fraction form
    3,749.82/5,623.38 = 1,284/x
  3. Step 3: Cross multiply
    3,749.82x = 5,623.38 × 1,284
  4. Step 4: Simplify right side
    3,749.82x = 7,220,419.92
  5. Step 5: Solve for x
    x = 7,220,419.92/3,749.82
  6. Step 6: Final answer
    x = 1,925.54

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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.