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Finding the Fourth Proportional to 20,129.41, 30,187.89 and 6,978.72

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Solution

The fourth proportional to 20,129.41, 30,187.89 and 6,978.72 is: 10,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.41 : 30,187.89 = 6,978.72 : x
  2. Step 2: Convert to fraction form
    20,129.41/30,187.89 = 6,978.72/x
  3. Step 3: Cross multiply
    20,129.41x = 30,187.89 × 6,978.72
  4. Step 4: Simplify right side
    20,129.41x = 210,672,944.91
  5. Step 5: Solve for x
    x = 210,672,944.91/20,129.41
  6. Step 6: Final answer
    x = 10,465.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.