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Finding the Fourth Proportional to 13,828.50, 19,084.77 and 8,523.18

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Solution

The fourth proportional to 13,828.50, 19,084.77 and 8,523.18 is: 11,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.50 : 19,084.77 = 8,523.18 : x
  2. Step 2: Convert to fraction form
    13,828.50/19,084.77 = 8,523.18/x
  3. Step 3: Cross multiply
    13,828.50x = 19,084.77 × 8,523.18
  4. Step 4: Simplify right side
    13,828.50x = 162,662,929.97
  5. Step 5: Solve for x
    x = 162,662,929.97/13,828.50
  6. Step 6: Final answer
    x = 11,762.88

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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.