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Finding the Fourth Proportional to 1,857.16, 2,773.01 and 1,789.96

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Solution

The fourth proportional to 1,857.16, 2,773.01 and 1,789.96 is: 2,672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.16 : 2,773.01 = 1,789.96 : x
  2. Step 2: Convert to fraction form
    1,857.16/2,773.01 = 1,789.96/x
  3. Step 3: Cross multiply
    1,857.16x = 2,773.01 × 1,789.96
  4. Step 4: Simplify right side
    1,857.16x = 4,963,576.98
  5. Step 5: Solve for x
    x = 4,963,576.98/1,857.16
  6. Step 6: Final answer
    x = 2,672.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.