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Finding the Fourth Proportional to 13,798, 19,043.40 and 8,212.24

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Solution

The fourth proportional to 13,798, 19,043.40 and 8,212.24 is: 11,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798 : 19,043.40 = 8,212.24 : x
  2. Step 2: Convert to fraction form
    13,798/19,043.40 = 8,212.24/x
  3. Step 3: Cross multiply
    13,798x = 19,043.40 × 8,212.24
  4. Step 4: Simplify right side
    13,798x = 156,388,971.22
  5. Step 5: Solve for x
    x = 156,388,971.22/13,798
  6. Step 6: Final answer
    x = 11,334.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.