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Finding the Fourth Proportional to 20,156, 27,810.84 and 11,658.08

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Solution

The fourth proportional to 20,156, 27,810.84 and 11,658.08 is: 16,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156 : 27,810.84 = 11,658.08 : x
  2. Step 2: Convert to fraction form
    20,156/27,810.84 = 11,658.08/x
  3. Step 3: Cross multiply
    20,156x = 27,810.84 × 11,658.08
  4. Step 4: Simplify right side
    20,156x = 324,220,997.59
  5. Step 5: Solve for x
    x = 324,220,997.59/20,156
  6. Step 6: Final answer
    x = 16,085.58

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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.