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Finding the Fourth Proportional to 12,322.68, 17,024.60 and 11,715.78

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Solution

The fourth proportional to 12,322.68, 17,024.60 and 11,715.78 is: 16,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.68 : 17,024.60 = 11,715.78 : x
  2. Step 2: Convert to fraction form
    12,322.68/17,024.60 = 11,715.78/x
  3. Step 3: Cross multiply
    12,322.68x = 17,024.60 × 11,715.78
  4. Step 4: Simplify right side
    12,322.68x = 199,456,468.19
  5. Step 5: Solve for x
    x = 199,456,468.19/12,322.68
  6. Step 6: Final answer
    x = 16,186.13

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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.