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Finding the Fourth Proportional to 8,106, 12,159.54 and 3,489

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Solution

The fourth proportional to 8,106, 12,159.54 and 3,489 is: 5,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106 : 12,159.54 = 3,489 : x
  2. Step 2: Convert to fraction form
    8,106/12,159.54 = 3,489/x
  3. Step 3: Cross multiply
    8,106x = 12,159.54 × 3,489
  4. Step 4: Simplify right side
    8,106x = 42,424,635.06
  5. Step 5: Solve for x
    x = 42,424,635.06/8,106
  6. Step 6: Final answer
    x = 5,233.73

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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.