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Finding the Fourth Proportional to 4,939, 7,408.50 and 1,291

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Solution

The fourth proportional to 4,939, 7,408.50 and 1,291 is: 1,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939 : 7,408.50 = 1,291 : x
  2. Step 2: Convert to fraction form
    4,939/7,408.50 = 1,291/x
  3. Step 3: Cross multiply
    4,939x = 7,408.50 × 1,291
  4. Step 4: Simplify right side
    4,939x = 9,564,373.50
  5. Step 5: Solve for x
    x = 9,564,373.50/4,939
  6. Step 6: Final answer
    x = 1,936.50

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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.