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Finding the Fourth Proportional to 1,957.05, 2,919.08 and 1,820.97

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Solution

The fourth proportional to 1,957.05, 2,919.08 and 1,820.97 is: 2,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.05 : 2,919.08 = 1,820.97 : x
  2. Step 2: Convert to fraction form
    1,957.05/2,919.08 = 1,820.97/x
  3. Step 3: Cross multiply
    1,957.05x = 2,919.08 × 1,820.97
  4. Step 4: Simplify right side
    1,957.05x = 5,315,561.66
  5. Step 5: Solve for x
    x = 5,315,561.66/1,957.05
  6. Step 6: Final answer
    x = 2,716.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.