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Finding the Fourth Proportional to 12,379.97, 18,572 and 6,140.18

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Solution

The fourth proportional to 12,379.97, 18,572 and 6,140.18 is: 9,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.97 : 18,572 = 6,140.18 : x
  2. Step 2: Convert to fraction form
    12,379.97/18,572 = 6,140.18/x
  3. Step 3: Cross multiply
    12,379.97x = 18,572 × 6,140.18
  4. Step 4: Simplify right side
    12,379.97x = 114,035,422.96
  5. Step 5: Solve for x
    x = 114,035,422.96/12,379.97
  6. Step 6: Final answer
    x = 9,211.28

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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.