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Finding the Fourth Proportional to 11,647.26, 16,078.64 and 6,865.70

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Solution

The fourth proportional to 11,647.26, 16,078.64 and 6,865.70 is: 9,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.26 : 16,078.64 = 6,865.70 : x
  2. Step 2: Convert to fraction form
    11,647.26/16,078.64 = 6,865.70/x
  3. Step 3: Cross multiply
    11,647.26x = 16,078.64 × 6,865.70
  4. Step 4: Simplify right side
    11,647.26x = 110,391,003.93
  5. Step 5: Solve for x
    x = 110,391,003.93/11,647.26
  6. Step 6: Final answer
    x = 9,477.85

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1.5x scale

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.