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Finding the Fourth Proportional to 6,836.77, 9,436.31 and 5,715.76

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Solution

The fourth proportional to 6,836.77, 9,436.31 and 5,715.76 is: 7,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.77 : 9,436.31 = 5,715.76 : x
  2. Step 2: Convert to fraction form
    6,836.77/9,436.31 = 5,715.76/x
  3. Step 3: Cross multiply
    6,836.77x = 9,436.31 × 5,715.76
  4. Step 4: Simplify right side
    6,836.77x = 53,935,653.52
  5. Step 5: Solve for x
    x = 53,935,653.52/6,836.77
  6. Step 6: Final answer
    x = 7,889.06

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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.