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Finding the Fourth Proportional to 20,777.60, 28,672.80 and 11,346

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Solution

The fourth proportional to 20,777.60, 28,672.80 and 11,346 is: 15,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.60 : 28,672.80 = 11,346 : x
  2. Step 2: Convert to fraction form
    20,777.60/28,672.80 = 11,346/x
  3. Step 3: Cross multiply
    20,777.60x = 28,672.80 × 11,346
  4. Step 4: Simplify right side
    20,777.60x = 325,321,588.80
  5. Step 5: Solve for x
    x = 325,321,588.80/20,777.60
  6. Step 6: Final answer
    x = 15,657.32

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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.