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Finding the Fourth Proportional to 5,511.88, 8,267.82 and 1,407.88

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Solution

The fourth proportional to 5,511.88, 8,267.82 and 1,407.88 is: 2,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.88 : 8,267.82 = 1,407.88 : x
  2. Step 2: Convert to fraction form
    5,511.88/8,267.82 = 1,407.88/x
  3. Step 3: Cross multiply
    5,511.88x = 8,267.82 × 1,407.88
  4. Step 4: Simplify right side
    5,511.88x = 11,640,050.04
  5. Step 5: Solve for x
    x = 11,640,050.04/5,511.88
  6. Step 6: Final answer
    x = 2,111.81

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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.