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Finding the Fourth Proportional to 20,327.52, 30,492.36 and 7,186.08

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Solution

The fourth proportional to 20,327.52, 30,492.36 and 7,186.08 is: 10,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327.52 : 30,492.36 = 7,186.08 : x
  2. Step 2: Convert to fraction form
    20,327.52/30,492.36 = 7,186.08/x
  3. Step 3: Cross multiply
    20,327.52x = 30,492.36 × 7,186.08
  4. Step 4: Simplify right side
    20,327.52x = 219,120,538.35
  5. Step 5: Solve for x
    x = 219,120,538.35/20,327.52
  6. Step 6: Final answer
    x = 10,779.50

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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.