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Finding the Fourth Proportional to 2,768, 3,819.84 and 1,526

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Solution

The fourth proportional to 2,768, 3,819.84 and 1,526 is: 2,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768 : 3,819.84 = 1,526 : x
  2. Step 2: Convert to fraction form
    2,768/3,819.84 = 1,526/x
  3. Step 3: Cross multiply
    2,768x = 3,819.84 × 1,526
  4. Step 4: Simplify right side
    2,768x = 5,829,075.84
  5. Step 5: Solve for x
    x = 5,829,075.84/2,768
  6. Step 6: Final answer
    x = 2,105.88

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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.