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Finding the Fourth Proportional to 13,596.81, 18,760.86 and 9,825.72

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Solution

The fourth proportional to 13,596.81, 18,760.86 and 9,825.72 is: 13,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.81 : 18,760.86 = 9,825.72 : x
  2. Step 2: Convert to fraction form
    13,596.81/18,760.86 = 9,825.72/x
  3. Step 3: Cross multiply
    13,596.81x = 18,760.86 × 9,825.72
  4. Step 4: Simplify right side
    13,596.81x = 184,338,957.32
  5. Step 5: Solve for x
    x = 184,338,957.32/13,596.81
  6. Step 6: Final answer
    x = 13,557.52

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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.