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Finding the Fourth Proportional to 2,075.78, 3,114.20 and 689.11

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Solution

The fourth proportional to 2,075.78, 3,114.20 and 689.11 is: 1,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.78 : 3,114.20 = 689.11 : x
  2. Step 2: Convert to fraction form
    2,075.78/3,114.20 = 689.11/x
  3. Step 3: Cross multiply
    2,075.78x = 3,114.20 × 689.11
  4. Step 4: Simplify right side
    2,075.78x = 2,146,026.36
  5. Step 5: Solve for x
    x = 2,146,026.36/2,075.78
  6. Step 6: Final answer
    x = 1,033.84

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1.5x scale

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.