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Finding the Fourth Proportional to 11,645.63, 16,071.25 and 6,340.73

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Solution

The fourth proportional to 11,645.63, 16,071.25 and 6,340.73 is: 8,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.63 : 16,071.25 = 6,340.73 : x
  2. Step 2: Convert to fraction form
    11,645.63/16,071.25 = 6,340.73/x
  3. Step 3: Cross multiply
    11,645.63x = 16,071.25 × 6,340.73
  4. Step 4: Simplify right side
    11,645.63x = 101,903,441.16
  5. Step 5: Solve for x
    x = 101,903,441.16/11,645.63
  6. Step 6: Final answer
    x = 8,750.36

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Half scale
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Double scale
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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.