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Finding the Fourth Proportional to 1,901, 2,852.86 and 746.76

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Solution

The fourth proportional to 1,901, 2,852.86 and 746.76 is: 1,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901 : 2,852.86 = 746.76 : x
  2. Step 2: Convert to fraction form
    1,901/2,852.86 = 746.76/x
  3. Step 3: Cross multiply
    1,901x = 2,852.86 × 746.76
  4. Step 4: Simplify right side
    1,901x = 2,130,401.73
  5. Step 5: Solve for x
    x = 2,130,401.73/1,901
  6. Step 6: Final answer
    x = 1,120.67

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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.