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Finding the Fourth Proportional to 2,846.70, 4,270.80 and 1,874.70

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Solution

The fourth proportional to 2,846.70, 4,270.80 and 1,874.70 is: 2,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.70 : 4,270.80 = 1,874.70 : x
  2. Step 2: Convert to fraction form
    2,846.70/4,270.80 = 1,874.70/x
  3. Step 3: Cross multiply
    2,846.70x = 4,270.80 × 1,874.70
  4. Step 4: Simplify right side
    2,846.70x = 8,006,468.76
  5. Step 5: Solve for x
    x = 8,006,468.76/2,846.70
  6. Step 6: Final answer
    x = 2,812.54

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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.