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Finding the Fourth Proportional to 2,300.78, 3,448.42 and 1,603.67

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Solution

The fourth proportional to 2,300.78, 3,448.42 and 1,603.67 is: 2,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.78 : 3,448.42 = 1,603.67 : x
  2. Step 2: Convert to fraction form
    2,300.78/3,448.42 = 1,603.67/x
  3. Step 3: Cross multiply
    2,300.78x = 3,448.42 × 1,603.67
  4. Step 4: Simplify right side
    2,300.78x = 5,530,127.70
  5. Step 5: Solve for x
    x = 5,530,127.70/2,300.78
  6. Step 6: Final answer
    x = 2,403.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.