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Finding the Fourth Proportional to 2,856.62, 4,285.05 and 1,397

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Solution

The fourth proportional to 2,856.62, 4,285.05 and 1,397 is: 2,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.62 : 4,285.05 = 1,397 : x
  2. Step 2: Convert to fraction form
    2,856.62/4,285.05 = 1,397/x
  3. Step 3: Cross multiply
    2,856.62x = 4,285.05 × 1,397
  4. Step 4: Simplify right side
    2,856.62x = 5,986,214.85
  5. Step 5: Solve for x
    x = 5,986,214.85/2,856.62
  6. Step 6: Final answer
    x = 2,095.56

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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.