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Finding the Fourth Proportional to 20,129.04, 30,186 and 6,978.24

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Solution

The fourth proportional to 20,129.04, 30,186 and 6,978.24 is: 10,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.04 : 30,186 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    20,129.04/30,186 = 6,978.24/x
  3. Step 3: Cross multiply
    20,129.04x = 30,186 × 6,978.24
  4. Step 4: Simplify right side
    20,129.04x = 210,645,152.64
  5. Step 5: Solve for x
    x = 210,645,152.64/20,129.04
  6. Step 6: Final answer
    x = 10,464.74

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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.