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Finding the Fourth Proportional to 2,603.93, 3,905.93 and 872.55

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Solution

The fourth proportional to 2,603.93, 3,905.93 and 872.55 is: 1,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.93 : 3,905.93 = 872.55 : x
  2. Step 2: Convert to fraction form
    2,603.93/3,905.93 = 872.55/x
  3. Step 3: Cross multiply
    2,603.93x = 3,905.93 × 872.55
  4. Step 4: Simplify right side
    2,603.93x = 3,408,119.22
  5. Step 5: Solve for x
    x = 3,408,119.22/2,603.93
  6. Step 6: Final answer
    x = 1,308.84

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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.