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Finding the Fourth Proportional to 11,904.93, 16,431.99 and 7,426

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Solution

The fourth proportional to 11,904.93, 16,431.99 and 7,426 is: 10,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.93 : 16,431.99 = 7,426 : x
  2. Step 2: Convert to fraction form
    11,904.93/16,431.99 = 7,426/x
  3. Step 3: Cross multiply
    11,904.93x = 16,431.99 × 7,426
  4. Step 4: Simplify right side
    11,904.93x = 122,023,957.74
  5. Step 5: Solve for x
    x = 122,023,957.74/11,904.93
  6. Step 6: Final answer
    x = 10,249.87

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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.