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Finding the Fourth Proportional to 13,805.71, 19,051.97 and 7,837.47

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Solution

The fourth proportional to 13,805.71, 19,051.97 and 7,837.47 is: 10,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.71 : 19,051.97 = 7,837.47 : x
  2. Step 2: Convert to fraction form
    13,805.71/19,051.97 = 7,837.47/x
  3. Step 3: Cross multiply
    13,805.71x = 19,051.97 × 7,837.47
  4. Step 4: Simplify right side
    13,805.71x = 149,319,204.13
  5. Step 5: Solve for x
    x = 149,319,204.13/13,805.71
  6. Step 6: Final answer
    x = 10,815.76

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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.