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Finding the Fourth Proportional to 4,406, 6,610.08 and 1,328

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Solution

The fourth proportional to 4,406, 6,610.08 and 1,328 is: 1,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406 : 6,610.08 = 1,328 : x
  2. Step 2: Convert to fraction form
    4,406/6,610.08 = 1,328/x
  3. Step 3: Cross multiply
    4,406x = 6,610.08 × 1,328
  4. Step 4: Simplify right side
    4,406x = 8,778,186.24
  5. Step 5: Solve for x
    x = 8,778,186.24/4,406
  6. Step 6: Final answer
    x = 1,992.33

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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.