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Finding the Fourth Proportional to 1,889.70, 2,835.29 and 848.98

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Solution

The fourth proportional to 1,889.70, 2,835.29 and 848.98 is: 1,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.70 : 2,835.29 = 848.98 : x
  2. Step 2: Convert to fraction form
    1,889.70/2,835.29 = 848.98/x
  3. Step 3: Cross multiply
    1,889.70x = 2,835.29 × 848.98
  4. Step 4: Simplify right side
    1,889.70x = 2,407,104.50
  5. Step 5: Solve for x
    x = 2,407,104.50/1,889.70
  6. Step 6: Final answer
    x = 1,273.80

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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.