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Finding the Fourth Proportional to 16,891.70, 23,311.44 and 9,722.70

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Solution

The fourth proportional to 16,891.70, 23,311.44 and 9,722.70 is: 13,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.70 : 23,311.44 = 9,722.70 : x
  2. Step 2: Convert to fraction form
    16,891.70/23,311.44 = 9,722.70/x
  3. Step 3: Cross multiply
    16,891.70x = 23,311.44 × 9,722.70
  4. Step 4: Simplify right side
    16,891.70x = 226,650,137.69
  5. Step 5: Solve for x
    x = 226,650,137.69/16,891.70
  6. Step 6: Final answer
    x = 13,417.84

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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.