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Finding the Fourth Proportional to 2,856.75, 4,285.05 and 1,541.08

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Solution

The fourth proportional to 2,856.75, 4,285.05 and 1,541.08 is: 2,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 4,285.05 = 1,541.08 : x
  2. Step 2: Convert to fraction form
    2,856.75/4,285.05 = 1,541.08/x
  3. Step 3: Cross multiply
    2,856.75x = 4,285.05 × 1,541.08
  4. Step 4: Simplify right side
    2,856.75x = 6,603,604.85
  5. Step 5: Solve for x
    x = 6,603,604.85/2,856.75
  6. Step 6: Final answer
    x = 2,311.58

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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.