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Finding the Fourth Proportional to 2,846.30, 4,270.05 and 898.70

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Solution

The fourth proportional to 2,846.30, 4,270.05 and 898.70 is: 1,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.30 : 4,270.05 = 898.70 : x
  2. Step 2: Convert to fraction form
    2,846.30/4,270.05 = 898.70/x
  3. Step 3: Cross multiply
    2,846.30x = 4,270.05 × 898.70
  4. Step 4: Simplify right side
    2,846.30x = 3,837,493.94
  5. Step 5: Solve for x
    x = 3,837,493.94/2,846.30
  6. Step 6: Final answer
    x = 1,348.24

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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.