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Finding the Fourth Proportional to 12,664, 18,996.54 and 3,430

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Solution

The fourth proportional to 12,664, 18,996.54 and 3,430 is: 5,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 18,996.54 = 3,430 : x
  2. Step 2: Convert to fraction form
    12,664/18,996.54 = 3,430/x
  3. Step 3: Cross multiply
    12,664x = 18,996.54 × 3,430
  4. Step 4: Simplify right side
    12,664x = 65,158,132.20
  5. Step 5: Solve for x
    x = 65,158,132.20/12,664
  6. Step 6: Final answer
    x = 5,145.15

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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.