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Finding the Fourth Proportional to 16,871.28, 23,282.40 and 9,419.28

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Solution

The fourth proportional to 16,871.28, 23,282.40 and 9,419.28 is: 12,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.28 : 23,282.40 = 9,419.28 : x
  2. Step 2: Convert to fraction form
    16,871.28/23,282.40 = 9,419.28/x
  3. Step 3: Cross multiply
    16,871.28x = 23,282.40 × 9,419.28
  4. Step 4: Simplify right side
    16,871.28x = 219,303,444.67
  5. Step 5: Solve for x
    x = 219,303,444.67/16,871.28
  6. Step 6: Final answer
    x = 12,998.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.