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Finding the Fourth Proportional to 17,258.33, 25,871.09 and 11,000.78

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Solution

The fourth proportional to 17,258.33, 25,871.09 and 11,000.78 is: 16,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.33 : 25,871.09 = 11,000.78 : x
  2. Step 2: Convert to fraction form
    17,258.33/25,871.09 = 11,000.78/x
  3. Step 3: Cross multiply
    17,258.33x = 25,871.09 × 11,000.78
  4. Step 4: Simplify right side
    17,258.33x = 284,601,985.09
  5. Step 5: Solve for x
    x = 284,601,985.09/17,258.33
  6. Step 6: Final answer
    x = 16,490.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.