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Finding the Fourth Proportional to 2,141, 3,211.98 and 773

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Solution

The fourth proportional to 2,141, 3,211.98 and 773 is: 1,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141 : 3,211.98 = 773 : x
  2. Step 2: Convert to fraction form
    2,141/3,211.98 = 773/x
  3. Step 3: Cross multiply
    2,141x = 3,211.98 × 773
  4. Step 4: Simplify right side
    2,141x = 2,482,860.54
  5. Step 5: Solve for x
    x = 2,482,860.54/2,141
  6. Step 6: Final answer
    x = 1,159.67

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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.