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Finding the Fourth Proportional to 2,663.40, 3,676.84 and 1,601.76

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Solution

The fourth proportional to 2,663.40, 3,676.84 and 1,601.76 is: 2,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.40 : 3,676.84 = 1,601.76 : x
  2. Step 2: Convert to fraction form
    2,663.40/3,676.84 = 1,601.76/x
  3. Step 3: Cross multiply
    2,663.40x = 3,676.84 × 1,601.76
  4. Step 4: Simplify right side
    2,663.40x = 5,889,415.24
  5. Step 5: Solve for x
    x = 5,889,415.24/2,663.40
  6. Step 6: Final answer
    x = 2,211.24

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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.