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Finding the Fourth Proportional to 22,243, 30,700.81 and 12,817.03

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Solution

The fourth proportional to 22,243, 30,700.81 and 12,817.03 is: 17,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243 : 30,700.81 = 12,817.03 : x
  2. Step 2: Convert to fraction form
    22,243/30,700.81 = 12,817.03/x
  3. Step 3: Cross multiply
    22,243x = 30,700.81 × 12,817.03
  4. Step 4: Simplify right side
    22,243x = 393,493,202.79
  5. Step 5: Solve for x
    x = 393,493,202.79/22,243
  6. Step 6: Final answer
    x = 17,690.65

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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.