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Finding the Fourth Proportional to 7,896.30, 10,863.36 and 7,677.60

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Solution

The fourth proportional to 7,896.30, 10,863.36 and 7,677.60 is: 10,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.30 : 10,863.36 = 7,677.60 : x
  2. Step 2: Convert to fraction form
    7,896.30/10,863.36 = 7,677.60/x
  3. Step 3: Cross multiply
    7,896.30x = 10,863.36 × 7,677.60
  4. Step 4: Simplify right side
    7,896.30x = 83,404,532.74
  5. Step 5: Solve for x
    x = 83,404,532.74/7,896.30
  6. Step 6: Final answer
    x = 10,562.48

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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.