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Finding the Fourth Proportional to 12,410.66, 18,638.43 and 7,739.75

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Solution

The fourth proportional to 12,410.66, 18,638.43 and 7,739.75 is: 11,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.66 : 18,638.43 = 7,739.75 : x
  2. Step 2: Convert to fraction form
    12,410.66/18,638.43 = 7,739.75/x
  3. Step 3: Cross multiply
    12,410.66x = 18,638.43 × 7,739.75
  4. Step 4: Simplify right side
    12,410.66x = 144,256,788.59
  5. Step 5: Solve for x
    x = 144,256,788.59/12,410.66
  6. Step 6: Final answer
    x = 11,623.62

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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.