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Finding the Fourth Proportional to 2,856.84, 4,285.26 and 1,213.16

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Solution

The fourth proportional to 2,856.84, 4,285.26 and 1,213.16 is: 1,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 4,285.26 = 1,213.16 : x
  2. Step 2: Convert to fraction form
    2,856.84/4,285.26 = 1,213.16/x
  3. Step 3: Cross multiply
    2,856.84x = 4,285.26 × 1,213.16
  4. Step 4: Simplify right side
    2,856.84x = 5,198,706.02
  5. Step 5: Solve for x
    x = 5,198,706.02/2,856.84
  6. Step 6: Final answer
    x = 1,819.74

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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.