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Finding the Fourth Proportional to 1,972.62, 2,959.74 and 1,356.21

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Solution

The fourth proportional to 1,972.62, 2,959.74 and 1,356.21 is: 2,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.62 : 2,959.74 = 1,356.21 : x
  2. Step 2: Convert to fraction form
    1,972.62/2,959.74 = 1,356.21/x
  3. Step 3: Cross multiply
    1,972.62x = 2,959.74 × 1,356.21
  4. Step 4: Simplify right side
    1,972.62x = 4,014,028.99
  5. Step 5: Solve for x
    x = 4,014,028.99/1,972.62
  6. Step 6: Final answer
    x = 2,034.87

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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.