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Finding the Fourth Proportional to 20,457.20, 30,672.20 and 7,978.38

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Solution

The fourth proportional to 20,457.20, 30,672.20 and 7,978.38 is: 11,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.20 : 30,672.20 = 7,978.38 : x
  2. Step 2: Convert to fraction form
    20,457.20/30,672.20 = 7,978.38/x
  3. Step 3: Cross multiply
    20,457.20x = 30,672.20 × 7,978.38
  4. Step 4: Simplify right side
    20,457.20x = 244,714,427.14
  5. Step 5: Solve for x
    x = 244,714,427.14/20,457.20
  6. Step 6: Final answer
    x = 11,962.27

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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.