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Finding the Fourth Proportional to 2,075.75, 3,113.91 and 689.24

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Solution

The fourth proportional to 2,075.75, 3,113.91 and 689.24 is: 1,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.75 : 3,113.91 = 689.24 : x
  2. Step 2: Convert to fraction form
    2,075.75/3,113.91 = 689.24/x
  3. Step 3: Cross multiply
    2,075.75x = 3,113.91 × 689.24
  4. Step 4: Simplify right side
    2,075.75x = 2,146,215.76
  5. Step 5: Solve for x
    x = 2,146,215.76/2,075.75
  6. Step 6: Final answer
    x = 1,033.95

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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.