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Finding the Fourth Proportional to 13,841, 19,109.22 and 8,881.64

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Solution

The fourth proportional to 13,841, 19,109.22 and 8,881.64 is: 12,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841 : 19,109.22 = 8,881.64 : x
  2. Step 2: Convert to fraction form
    13,841/19,109.22 = 8,881.64/x
  3. Step 3: Cross multiply
    13,841x = 19,109.22 × 8,881.64
  4. Step 4: Simplify right side
    13,841x = 169,721,212.72
  5. Step 5: Solve for x
    x = 169,721,212.72/13,841
  6. Step 6: Final answer
    x = 12,262.21

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1.5x scale

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.