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Finding the Fourth Proportional to 2,075.69, 3,114.44 and 689.21

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Solution

The fourth proportional to 2,075.69, 3,114.44 and 689.21 is: 1,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.69 : 3,114.44 = 689.21 : x
  2. Step 2: Convert to fraction form
    2,075.69/3,114.44 = 689.21/x
  3. Step 3: Cross multiply
    2,075.69x = 3,114.44 × 689.21
  4. Step 4: Simplify right side
    2,075.69x = 2,146,503.19
  5. Step 5: Solve for x
    x = 2,146,503.19/2,075.69
  6. Step 6: Final answer
    x = 1,034.12

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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.