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Finding the Fourth Proportional to 2,603.99, 3,903.85 and 1,216.64

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Solution

The fourth proportional to 2,603.99, 3,903.85 and 1,216.64 is: 1,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.99 : 3,903.85 = 1,216.64 : x
  2. Step 2: Convert to fraction form
    2,603.99/3,903.85 = 1,216.64/x
  3. Step 3: Cross multiply
    2,603.99x = 3,903.85 × 1,216.64
  4. Step 4: Simplify right side
    2,603.99x = 4,749,573.98
  5. Step 5: Solve for x
    x = 4,749,573.98/2,603.99
  6. Step 6: Final answer
    x = 1,823.96

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Why These Related Problems?

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