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Finding the Fourth Proportional to 19,751.70, 27,243.99 and 12,686.70

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Solution

The fourth proportional to 19,751.70, 27,243.99 and 12,686.70 is: 17,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.70 : 27,243.99 = 12,686.70 : x
  2. Step 2: Convert to fraction form
    19,751.70/27,243.99 = 12,686.70/x
  3. Step 3: Cross multiply
    19,751.70x = 27,243.99 × 12,686.70
  4. Step 4: Simplify right side
    19,751.70x = 345,636,327.93
  5. Step 5: Solve for x
    x = 345,636,327.93/19,751.70
  6. Step 6: Final answer
    x = 17,499.07

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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.