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Finding the Fourth Proportional to 12,664.17, 18,996.21 and 3,430.17

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Solution

The fourth proportional to 12,664.17, 18,996.21 and 3,430.17 is: 5,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.17 : 18,996.21 = 3,430.17 : x
  2. Step 2: Convert to fraction form
    12,664.17/18,996.21 = 3,430.17/x
  3. Step 3: Cross multiply
    12,664.17x = 18,996.21 × 3,430.17
  4. Step 4: Simplify right side
    12,664.17x = 65,160,229.66
  5. Step 5: Solve for x
    x = 65,160,229.66/12,664.17
  6. Step 6: Final answer
    x = 5,145.24

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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.