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Finding the Fourth Proportional to 13,032.82, 17,987.70 and 7,443.82

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Solution

The fourth proportional to 13,032.82, 17,987.70 and 7,443.82 is: 10,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.82 : 17,987.70 = 7,443.82 : x
  2. Step 2: Convert to fraction form
    13,032.82/17,987.70 = 7,443.82/x
  3. Step 3: Cross multiply
    13,032.82x = 17,987.70 × 7,443.82
  4. Step 4: Simplify right side
    13,032.82x = 133,897,201.01
  5. Step 5: Solve for x
    x = 133,897,201.01/13,032.82
  6. Step 6: Final answer
    x = 10,273.85

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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.