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Finding the Fourth Proportional to 20,978.16, 31,592.22 and 18,921.84

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Solution

The fourth proportional to 20,978.16, 31,592.22 and 18,921.84 is: 28,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.16 : 31,592.22 = 18,921.84 : x
  2. Step 2: Convert to fraction form
    20,978.16/31,592.22 = 18,921.84/x
  3. Step 3: Cross multiply
    20,978.16x = 31,592.22 × 18,921.84
  4. Step 4: Simplify right side
    20,978.16x = 597,782,932.08
  5. Step 5: Solve for x
    x = 597,782,932.08/20,978.16
  6. Step 6: Final answer
    x = 28,495.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.