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Finding the Fourth Proportional to 7,892.25, 10,895.40 and 5,765.39

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Solution

The fourth proportional to 7,892.25, 10,895.40 and 5,765.39 is: 7,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.25 : 10,895.40 = 5,765.39 : x
  2. Step 2: Convert to fraction form
    7,892.25/10,895.40 = 5,765.39/x
  3. Step 3: Cross multiply
    7,892.25x = 10,895.40 × 5,765.39
  4. Step 4: Simplify right side
    7,892.25x = 62,816,216.59
  5. Step 5: Solve for x
    x = 62,816,216.59/7,892.25
  6. Step 6: Final answer
    x = 7,959.23

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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.