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Finding the Fourth Proportional to 11,548.80, 15,932.16 and 7,816.32

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Solution

The fourth proportional to 11,548.80, 15,932.16 and 7,816.32 is: 10,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.80 : 15,932.16 = 7,816.32 : x
  2. Step 2: Convert to fraction form
    11,548.80/15,932.16 = 7,816.32/x
  3. Step 3: Cross multiply
    11,548.80x = 15,932.16 × 7,816.32
  4. Step 4: Simplify right side
    11,548.80x = 124,530,860.85
  5. Step 5: Solve for x
    x = 124,530,860.85/11,548.80
  6. Step 6: Final answer
    x = 10,783.01

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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.