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Finding the Fourth Proportional to 12,664.80, 18,997.17 and 3,430.80

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Solution

The fourth proportional to 12,664.80, 18,997.17 and 3,430.80 is: 5,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.80 : 18,997.17 = 3,430.80 : x
  2. Step 2: Convert to fraction form
    12,664.80/18,997.17 = 3,430.80/x
  3. Step 3: Cross multiply
    12,664.80x = 18,997.17 × 3,430.80
  4. Step 4: Simplify right side
    12,664.80x = 65,175,490.84
  5. Step 5: Solve for x
    x = 65,175,490.84/12,664.80
  6. Step 6: Final answer
    x = 5,146.19

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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.