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Finding the Fourth Proportional to 5,407, 8,111.04 and 1,511.44

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Solution

The fourth proportional to 5,407, 8,111.04 and 1,511.44 is: 2,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 8,111.04 = 1,511.44 : x
  2. Step 2: Convert to fraction form
    5,407/8,111.04 = 1,511.44/x
  3. Step 3: Cross multiply
    5,407x = 8,111.04 × 1,511.44
  4. Step 4: Simplify right side
    5,407x = 12,259,350.30
  5. Step 5: Solve for x
    x = 12,259,350.30/5,407
  6. Step 6: Final answer
    x = 2,267.31

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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.