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Finding the Fourth Proportional to 11,712.30, 16,163.09 and 6,407

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Solution

The fourth proportional to 11,712.30, 16,163.09 and 6,407 is: 8,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.30 : 16,163.09 = 6,407 : x
  2. Step 2: Convert to fraction form
    11,712.30/16,163.09 = 6,407/x
  3. Step 3: Cross multiply
    11,712.30x = 16,163.09 × 6,407
  4. Step 4: Simplify right side
    11,712.30x = 103,556,917.63
  5. Step 5: Solve for x
    x = 103,556,917.63/11,712.30
  6. Step 6: Final answer
    x = 8,841.72

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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.