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Finding the Fourth Proportional to 16,971.80, 23,415.78 and 9,800.80

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Solution

The fourth proportional to 16,971.80, 23,415.78 and 9,800.80 is: 13,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.80 : 23,415.78 = 9,800.80 : x
  2. Step 2: Convert to fraction form
    16,971.80/23,415.78 = 9,800.80/x
  3. Step 3: Cross multiply
    16,971.80x = 23,415.78 × 9,800.80
  4. Step 4: Simplify right side
    16,971.80x = 229,493,376.62
  5. Step 5: Solve for x
    x = 229,493,376.62/16,971.80
  6. Step 6: Final answer
    x = 13,522.04

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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.