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Finding the Fourth Proportional to 10,787, 14,892.54 and 7,067.48

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Solution

The fourth proportional to 10,787, 14,892.54 and 7,067.48 is: 9,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 14,892.54 = 7,067.48 : x
  2. Step 2: Convert to fraction form
    10,787/14,892.54 = 7,067.48/x
  3. Step 3: Cross multiply
    10,787x = 14,892.54 × 7,067.48
  4. Step 4: Simplify right side
    10,787x = 105,252,728.60
  5. Step 5: Solve for x
    x = 105,252,728.60/10,787
  6. Step 6: Final answer
    x = 9,757.37

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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.