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Finding the Fourth Proportional to 16,689.60, 23,040 and 10,405.44

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Solution

The fourth proportional to 16,689.60, 23,040 and 10,405.44 is: 14,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.60 : 23,040 = 10,405.44 : x
  2. Step 2: Convert to fraction form
    16,689.60/23,040 = 10,405.44/x
  3. Step 3: Cross multiply
    16,689.60x = 23,040 × 10,405.44
  4. Step 4: Simplify right side
    16,689.60x = 239,741,337.60
  5. Step 5: Solve for x
    x = 239,741,337.60/16,689.60
  6. Step 6: Final answer
    x = 14,364.71

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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.