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Finding the Fourth Proportional to 10,535.37, 15,768.77 and 7,760.95

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Solution

The fourth proportional to 10,535.37, 15,768.77 and 7,760.95 is: 11,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.37 : 15,768.77 = 7,760.95 : x
  2. Step 2: Convert to fraction form
    10,535.37/15,768.77 = 7,760.95/x
  3. Step 3: Cross multiply
    10,535.37x = 15,768.77 × 7,760.95
  4. Step 4: Simplify right side
    10,535.37x = 122,380,596.73
  5. Step 5: Solve for x
    x = 122,380,596.73/10,535.37
  6. Step 6: Final answer
    x = 11,616.17

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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.