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Finding the Fourth Proportional to 16,439.24, 22,683.84 and 9,364.16

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Solution

The fourth proportional to 16,439.24, 22,683.84 and 9,364.16 is: 12,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.24 : 22,683.84 = 9,364.16 : x
  2. Step 2: Convert to fraction form
    16,439.24/22,683.84 = 9,364.16/x
  3. Step 3: Cross multiply
    16,439.24x = 22,683.84 × 9,364.16
  4. Step 4: Simplify right side
    16,439.24x = 212,415,107.17
  5. Step 5: Solve for x
    x = 212,415,107.17/16,439.24
  6. Step 6: Final answer
    x = 12,921.22

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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.