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Finding the Fourth Proportional to 10,669.77, 15,989.38 and 7,836.37

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Solution

The fourth proportional to 10,669.77, 15,989.38 and 7,836.37 is: 11,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.77 : 15,989.38 = 7,836.37 : x
  2. Step 2: Convert to fraction form
    10,669.77/15,989.38 = 7,836.37/x
  3. Step 3: Cross multiply
    10,669.77x = 15,989.38 × 7,836.37
  4. Step 4: Simplify right side
    10,669.77x = 125,298,697.75
  5. Step 5: Solve for x
    x = 125,298,697.75/10,669.77
  6. Step 6: Final answer
    x = 11,743.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.