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Finding the Fourth Proportional to 14,605.40, 21,906.30 and 6,812.12

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Solution

The fourth proportional to 14,605.40, 21,906.30 and 6,812.12 is: 10,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.40 : 21,906.30 = 6,812.12 : x
  2. Step 2: Convert to fraction form
    14,605.40/21,906.30 = 6,812.12/x
  3. Step 3: Cross multiply
    14,605.40x = 21,906.30 × 6,812.12
  4. Step 4: Simplify right side
    14,605.40x = 149,228,344.36
  5. Step 5: Solve for x
    x = 149,228,344.36/14,605.40
  6. Step 6: Final answer
    x = 10,217.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.