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Finding the Fourth Proportional to 20,051.85, 27,671.90 and 10,978.01

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Solution

The fourth proportional to 20,051.85, 27,671.90 and 10,978.01 is: 15,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.85 : 27,671.90 = 10,978.01 : x
  2. Step 2: Convert to fraction form
    20,051.85/27,671.90 = 10,978.01/x
  3. Step 3: Cross multiply
    20,051.85x = 27,671.90 × 10,978.01
  4. Step 4: Simplify right side
    20,051.85x = 303,782,201.67
  5. Step 5: Solve for x
    x = 303,782,201.67/20,051.85
  6. Step 6: Final answer
    x = 15,149.83

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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.