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Finding the Fourth Proportional to 15,694.62, 21,662.69 and 9,722.90

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Solution

The fourth proportional to 15,694.62, 21,662.69 and 9,722.90 is: 13,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.62 : 21,662.69 = 9,722.90 : x
  2. Step 2: Convert to fraction form
    15,694.62/21,662.69 = 9,722.90/x
  3. Step 3: Cross multiply
    15,694.62x = 21,662.69 × 9,722.90
  4. Step 4: Simplify right side
    15,694.62x = 210,624,011.67
  5. Step 5: Solve for x
    x = 210,624,011.67/15,694.62
  6. Step 6: Final answer
    x = 13,420.14

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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.