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Finding the Fourth Proportional to 1,921, 2,650.98 and 1,093

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Solution

The fourth proportional to 1,921, 2,650.98 and 1,093 is: 1,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921 : 2,650.98 = 1,093 : x
  2. Step 2: Convert to fraction form
    1,921/2,650.98 = 1,093/x
  3. Step 3: Cross multiply
    1,921x = 2,650.98 × 1,093
  4. Step 4: Simplify right side
    1,921x = 2,897,521.14
  5. Step 5: Solve for x
    x = 2,897,521.14/1,921
  6. Step 6: Final answer
    x = 1,508.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.