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Finding the Fourth Proportional to 4,938.75, 7,408.13 and 1,290.75

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Solution

The fourth proportional to 4,938.75, 7,408.13 and 1,290.75 is: 1,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.75 : 7,408.13 = 1,290.75 : x
  2. Step 2: Convert to fraction form
    4,938.75/7,408.13 = 1,290.75/x
  3. Step 3: Cross multiply
    4,938.75x = 7,408.13 × 1,290.75
  4. Step 4: Simplify right side
    4,938.75x = 9,562,037.34
  5. Step 5: Solve for x
    x = 9,562,037.34/4,938.75
  6. Step 6: Final answer
    x = 1,936.13

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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.