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Finding the Fourth Proportional to 19,638.21, 27,101.21 and 10,686.20

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Solution

The fourth proportional to 19,638.21, 27,101.21 and 10,686.20 is: 14,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.21 : 27,101.21 = 10,686.20 : x
  2. Step 2: Convert to fraction form
    19,638.21/27,101.21 = 10,686.20/x
  3. Step 3: Cross multiply
    19,638.21x = 27,101.21 × 10,686.20
  4. Step 4: Simplify right side
    19,638.21x = 289,608,950.30
  5. Step 5: Solve for x
    x = 289,608,950.30/19,638.21
  6. Step 6: Final answer
    x = 14,747.22

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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.