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Finding the Fourth Proportional to 12,182, 18,270.84 and 3,417.68

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Solution

The fourth proportional to 12,182, 18,270.84 and 3,417.68 is: 5,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182 : 18,270.84 = 3,417.68 : x
  2. Step 2: Convert to fraction form
    12,182/18,270.84 = 3,417.68/x
  3. Step 3: Cross multiply
    12,182x = 18,270.84 × 3,417.68
  4. Step 4: Simplify right side
    12,182x = 62,443,884.45
  5. Step 5: Solve for x
    x = 62,443,884.45/12,182
  6. Step 6: Final answer
    x = 5,125.91

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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.