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Finding the Fourth Proportional to 12,410.50, 17,127.30 and 7,697.92

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Solution

The fourth proportional to 12,410.50, 17,127.30 and 7,697.92 is: 10,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.50 : 17,127.30 = 7,697.92 : x
  2. Step 2: Convert to fraction form
    12,410.50/17,127.30 = 7,697.92/x
  3. Step 3: Cross multiply
    12,410.50x = 17,127.30 × 7,697.92
  4. Step 4: Simplify right side
    12,410.50x = 131,844,585.22
  5. Step 5: Solve for x
    x = 131,844,585.22/12,410.50
  6. Step 6: Final answer
    x = 10,623.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.