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Finding the Fourth Proportional to 16,674.40, 23,019.03 and 12,889

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Solution

The fourth proportional to 16,674.40, 23,019.03 and 12,889 is: 17,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674.40 : 23,019.03 = 12,889 : x
  2. Step 2: Convert to fraction form
    16,674.40/23,019.03 = 12,889/x
  3. Step 3: Cross multiply
    16,674.40x = 23,019.03 × 12,889
  4. Step 4: Simplify right side
    16,674.40x = 296,692,277.67
  5. Step 5: Solve for x
    x = 296,692,277.67/16,674.40
  6. Step 6: Final answer
    x = 17,793.28

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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.