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Finding the Fourth Proportional to 11,670.78, 16,106.22 and 6,365.91

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Solution

The fourth proportional to 11,670.78, 16,106.22 and 6,365.91 is: 8,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.78 : 16,106.22 = 6,365.91 : x
  2. Step 2: Convert to fraction form
    11,670.78/16,106.22 = 6,365.91/x
  3. Step 3: Cross multiply
    11,670.78x = 16,106.22 × 6,365.91
  4. Step 4: Simplify right side
    11,670.78x = 102,530,746.96
  5. Step 5: Solve for x
    x = 102,530,746.96/11,670.78
  6. Step 6: Final answer
    x = 8,785.25

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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.