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Finding the Fourth Proportional to 1,519.84, 2,097.57 and 856.85

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Solution

The fourth proportional to 1,519.84, 2,097.57 and 856.85 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.84 : 2,097.57 = 856.85 : x
  2. Step 2: Convert to fraction form
    1,519.84/2,097.57 = 856.85/x
  3. Step 3: Cross multiply
    1,519.84x = 2,097.57 × 856.85
  4. Step 4: Simplify right side
    1,519.84x = 1,797,302.85
  5. Step 5: Solve for x
    x = 1,797,302.85/1,519.84
  6. Step 6: Final answer
    x = 1,182.56

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1.5x scale

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.