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Finding the Fourth Proportional to 16,983, 23,438.70 and 9,531

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Solution

The fourth proportional to 16,983, 23,438.70 and 9,531 is: 13,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983 : 23,438.70 = 9,531 : x
  2. Step 2: Convert to fraction form
    16,983/23,438.70 = 9,531/x
  3. Step 3: Cross multiply
    16,983x = 23,438.70 × 9,531
  4. Step 4: Simplify right side
    16,983x = 223,394,249.70
  5. Step 5: Solve for x
    x = 223,394,249.70/16,983
  6. Step 6: Final answer
    x = 13,153.99

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1.5x scale

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.