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Finding the Fourth Proportional to 3,649.76, 5,036.73 and 2,078

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Solution

The fourth proportional to 3,649.76, 5,036.73 and 2,078 is: 2,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.76 : 5,036.73 = 2,078 : x
  2. Step 2: Convert to fraction form
    3,649.76/5,036.73 = 2,078/x
  3. Step 3: Cross multiply
    3,649.76x = 5,036.73 × 2,078
  4. Step 4: Simplify right side
    3,649.76x = 10,466,324.94
  5. Step 5: Solve for x
    x = 10,466,324.94/3,649.76
  6. Step 6: Final answer
    x = 2,867.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.