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Finding the Fourth Proportional to 4,901, 7,351.50 and 1,253

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Solution

The fourth proportional to 4,901, 7,351.50 and 1,253 is: 1,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901 : 7,351.50 = 1,253 : x
  2. Step 2: Convert to fraction form
    4,901/7,351.50 = 1,253/x
  3. Step 3: Cross multiply
    4,901x = 7,351.50 × 1,253
  4. Step 4: Simplify right side
    4,901x = 9,211,429.50
  5. Step 5: Solve for x
    x = 9,211,429.50/4,901
  6. Step 6: Final answer
    x = 1,879.50

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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.