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Finding the Fourth Proportional to 10,810.74, 16,218.54 and 7,823.06

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Solution

The fourth proportional to 10,810.74, 16,218.54 and 7,823.06 is: 11,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.74 : 16,218.54 = 7,823.06 : x
  2. Step 2: Convert to fraction form
    10,810.74/16,218.54 = 7,823.06/x
  3. Step 3: Cross multiply
    10,810.74x = 16,218.54 × 7,823.06
  4. Step 4: Simplify right side
    10,810.74x = 126,878,530.44
  5. Step 5: Solve for x
    x = 126,878,530.44/10,810.74
  6. Step 6: Final answer
    x = 11,736.34

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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.