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Finding the Fourth Proportional to 13,322.81, 19,962.15 and 11,949.23

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Solution

The fourth proportional to 13,322.81, 19,962.15 and 11,949.23 is: 17,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.81 : 19,962.15 = 11,949.23 : x
  2. Step 2: Convert to fraction form
    13,322.81/19,962.15 = 11,949.23/x
  3. Step 3: Cross multiply
    13,322.81x = 19,962.15 × 11,949.23
  4. Step 4: Simplify right side
    13,322.81x = 238,532,221.83
  5. Step 5: Solve for x
    x = 238,532,221.83/13,322.81
  6. Step 6: Final answer
    x = 17,904.05

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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.