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Finding the Fourth Proportional to 1,999.70, 2,992.70 and 1,648.82

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Solution

The fourth proportional to 1,999.70, 2,992.70 and 1,648.82 is: 2,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.70 : 2,992.70 = 1,648.82 : x
  2. Step 2: Convert to fraction form
    1,999.70/2,992.70 = 1,648.82/x
  3. Step 3: Cross multiply
    1,999.70x = 2,992.70 × 1,648.82
  4. Step 4: Simplify right side
    1,999.70x = 4,934,423.61
  5. Step 5: Solve for x
    x = 4,934,423.61/1,999.70
  6. Step 6: Final answer
    x = 2,467.58

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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.