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Finding the Fourth Proportional to 20,271, 27,973.98 and 11,439

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Solution

The fourth proportional to 20,271, 27,973.98 and 11,439 is: 15,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271 : 27,973.98 = 11,439 : x
  2. Step 2: Convert to fraction form
    20,271/27,973.98 = 11,439/x
  3. Step 3: Cross multiply
    20,271x = 27,973.98 × 11,439
  4. Step 4: Simplify right side
    20,271x = 319,994,357.22
  5. Step 5: Solve for x
    x = 319,994,357.22/20,271
  6. Step 6: Final answer
    x = 15,785.82

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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.