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Finding the Fourth Proportional to 20,275.95, 27,978.88 and 11,777.83

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Solution

The fourth proportional to 20,275.95, 27,978.88 and 11,777.83 is: 16,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.95 : 27,978.88 = 11,777.83 : x
  2. Step 2: Convert to fraction form
    20,275.95/27,978.88 = 11,777.83/x
  3. Step 3: Cross multiply
    20,275.95x = 27,978.88 × 11,777.83
  4. Step 4: Simplify right side
    20,275.95x = 329,530,628.21
  5. Step 5: Solve for x
    x = 329,530,628.21/20,275.95
  6. Step 6: Final answer
    x = 16,252.29

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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.