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Finding the Fourth Proportional to 4,745.50, 7,121.49 and 1,667.50

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Solution

The fourth proportional to 4,745.50, 7,121.49 and 1,667.50 is: 2,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.50 : 7,121.49 = 1,667.50 : x
  2. Step 2: Convert to fraction form
    4,745.50/7,121.49 = 1,667.50/x
  3. Step 3: Cross multiply
    4,745.50x = 7,121.49 × 1,667.50
  4. Step 4: Simplify right side
    4,745.50x = 11,875,084.58
  5. Step 5: Solve for x
    x = 11,875,084.58/4,745.50
  6. Step 6: Final answer
    x = 2,502.39

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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.