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Finding the Fourth Proportional to 1,519.56, 2,097.80 and 989.21

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Solution

The fourth proportional to 1,519.56, 2,097.80 and 989.21 is: 1,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.56 : 2,097.80 = 989.21 : x
  2. Step 2: Convert to fraction form
    1,519.56/2,097.80 = 989.21/x
  3. Step 3: Cross multiply
    1,519.56x = 2,097.80 × 989.21
  4. Step 4: Simplify right side
    1,519.56x = 2,075,168.75
  5. Step 5: Solve for x
    x = 2,075,168.75/1,519.56
  6. Step 6: Final answer
    x = 1,365.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.