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Finding the Fourth Proportional to 12,465.08, 17,224.62 and 11,857.64

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Solution

The fourth proportional to 12,465.08, 17,224.62 and 11,857.64 is: 16,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.08 : 17,224.62 = 11,857.64 : x
  2. Step 2: Convert to fraction form
    12,465.08/17,224.62 = 11,857.64/x
  3. Step 3: Cross multiply
    12,465.08x = 17,224.62 × 11,857.64
  4. Step 4: Simplify right side
    12,465.08x = 204,243,343.10
  5. Step 5: Solve for x
    x = 204,243,343.10/12,465.08
  6. Step 6: Final answer
    x = 16,385.24

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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.