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Finding the Fourth Proportional to 19,701.97, 27,189.41 and 10,749.98

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Solution

The fourth proportional to 19,701.97, 27,189.41 and 10,749.98 is: 14,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.97 : 27,189.41 = 10,749.98 : x
  2. Step 2: Convert to fraction form
    19,701.97/27,189.41 = 10,749.98/x
  3. Step 3: Cross multiply
    19,701.97x = 27,189.41 × 10,749.98
  4. Step 4: Simplify right side
    19,701.97x = 292,285,627.94
  5. Step 5: Solve for x
    x = 292,285,627.94/19,701.97
  6. Step 6: Final answer
    x = 14,835.35

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1.5x scale

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.