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Finding the Fourth Proportional to 1,972.68, 2,960.19 and 1,770.99

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Solution

The fourth proportional to 1,972.68, 2,960.19 and 1,770.99 is: 2,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.68 : 2,960.19 = 1,770.99 : x
  2. Step 2: Convert to fraction form
    1,972.68/2,960.19 = 1,770.99/x
  3. Step 3: Cross multiply
    1,972.68x = 2,960.19 × 1,770.99
  4. Step 4: Simplify right side
    1,972.68x = 5,242,466.89
  5. Step 5: Solve for x
    x = 5,242,466.89/1,972.68
  6. Step 6: Final answer
    x = 2,657.54

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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.