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Finding the Fourth Proportional to 14,610, 20,161.80 and 7,986

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Solution

The fourth proportional to 14,610, 20,161.80 and 7,986 is: 11,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610 : 20,161.80 = 7,986 : x
  2. Step 2: Convert to fraction form
    14,610/20,161.80 = 7,986/x
  3. Step 3: Cross multiply
    14,610x = 20,161.80 × 7,986
  4. Step 4: Simplify right side
    14,610x = 161,012,134.80
  5. Step 5: Solve for x
    x = 161,012,134.80/14,610
  6. Step 6: Final answer
    x = 11,020.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.