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Finding the Fourth Proportional to 13,631.21, 18,805.74 and 7,661.51

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Solution

The fourth proportional to 13,631.21, 18,805.74 and 7,661.51 is: 10,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.21 : 18,805.74 = 7,661.51 : x
  2. Step 2: Convert to fraction form
    13,631.21/18,805.74 = 7,661.51/x
  3. Step 3: Cross multiply
    13,631.21x = 18,805.74 × 7,661.51
  4. Step 4: Simplify right side
    13,631.21x = 144,080,365.07
  5. Step 5: Solve for x
    x = 144,080,365.07/13,631.21
  6. Step 6: Final answer
    x = 10,569.89

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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.