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Finding the Fourth Proportional to 16,690.50, 23,033.25 and 9,238.50

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Solution

The fourth proportional to 16,690.50, 23,033.25 and 9,238.50 is: 12,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.50 : 23,033.25 = 9,238.50 : x
  2. Step 2: Convert to fraction form
    16,690.50/23,033.25 = 9,238.50/x
  3. Step 3: Cross multiply
    16,690.50x = 23,033.25 × 9,238.50
  4. Step 4: Simplify right side
    16,690.50x = 212,792,680.13
  5. Step 5: Solve for x
    x = 212,792,680.13/16,690.50
  6. Step 6: Final answer
    x = 12,749.33

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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.