Home / 1,529.84-2,107.23-1,427.78

Finding the Fourth Proportional to 1,529.84, 2,107.23 and 1,427.78

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Solution

The fourth proportional to 1,529.84, 2,107.23 and 1,427.78 is: 1,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.84 : 2,107.23 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    1,529.84/2,107.23 = 1,427.78/x
  3. Step 3: Cross multiply
    1,529.84x = 2,107.23 × 1,427.78
  4. Step 4: Simplify right side
    1,529.84x = 3,008,660.85
  5. Step 5: Solve for x
    x = 3,008,660.85/1,529.84
  6. Step 6: Final answer
    x = 1,966.65

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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.