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Finding the Fourth Proportional to 11,828.54, 17,712.50 and 11,478.17

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Solution

The fourth proportional to 11,828.54, 17,712.50 and 11,478.17 is: 17,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.54 : 17,712.50 = 11,478.17 : x
  2. Step 2: Convert to fraction form
    11,828.54/17,712.50 = 11,478.17/x
  3. Step 3: Cross multiply
    11,828.54x = 17,712.50 × 11,478.17
  4. Step 4: Simplify right side
    11,828.54x = 203,307,026.26
  5. Step 5: Solve for x
    x = 203,307,026.26/11,828.54
  6. Step 6: Final answer
    x = 17,187.85

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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.