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Finding the Fourth Proportional to 11,904.06, 17,858.79 and 8,207.76

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Solution

The fourth proportional to 11,904.06, 17,858.79 and 8,207.76 is: 12,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.06 : 17,858.79 = 8,207.76 : x
  2. Step 2: Convert to fraction form
    11,904.06/17,858.79 = 8,207.76/x
  3. Step 3: Cross multiply
    11,904.06x = 17,858.79 × 8,207.76
  4. Step 4: Simplify right side
    11,904.06x = 146,580,662.21
  5. Step 5: Solve for x
    x = 146,580,662.21/11,904.06
  6. Step 6: Final answer
    x = 12,313.50

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1.5x scale

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.