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Finding the Fourth Proportional to 2,876, 3,969.04 and 1,697.76

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Solution

The fourth proportional to 2,876, 3,969.04 and 1,697.76 is: 2,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876 : 3,969.04 = 1,697.76 : x
  2. Step 2: Convert to fraction form
    2,876/3,969.04 = 1,697.76/x
  3. Step 3: Cross multiply
    2,876x = 3,969.04 × 1,697.76
  4. Step 4: Simplify right side
    2,876x = 6,738,477.35
  5. Step 5: Solve for x
    x = 6,738,477.35/2,876
  6. Step 6: Final answer
    x = 2,343.00

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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.