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Finding the Fourth Proportional to 1,679.73, 2,315.01 and 1,366.03

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Solution

The fourth proportional to 1,679.73, 2,315.01 and 1,366.03 is: 1,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.73 : 2,315.01 = 1,366.03 : x
  2. Step 2: Convert to fraction form
    1,679.73/2,315.01 = 1,366.03/x
  3. Step 3: Cross multiply
    1,679.73x = 2,315.01 × 1,366.03
  4. Step 4: Simplify right side
    1,679.73x = 3,162,373.11
  5. Step 5: Solve for x
    x = 3,162,373.11/1,679.73
  6. Step 6: Final answer
    x = 1,882.67

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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.