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Finding the Fourth Proportional to 20,786, 28,681.44 and 11,833.92

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Solution

The fourth proportional to 20,786, 28,681.44 and 11,833.92 is: 16,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 28,681.44 = 11,833.92 : x
  2. Step 2: Convert to fraction form
    20,786/28,681.44 = 11,833.92/x
  3. Step 3: Cross multiply
    20,786x = 28,681.44 × 11,833.92
  4. Step 4: Simplify right side
    20,786x = 339,413,866.44
  5. Step 5: Solve for x
    x = 339,413,866.44/20,786
  6. Step 6: Final answer
    x = 16,328.96

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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.