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Finding the Fourth Proportional to 20,492.63, 30,743.03 and 6,456.20

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Solution

The fourth proportional to 20,492.63, 30,743.03 and 6,456.20 is: 9,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.63 : 30,743.03 = 6,456.20 : x
  2. Step 2: Convert to fraction form
    20,492.63/30,743.03 = 6,456.20/x
  3. Step 3: Cross multiply
    20,492.63x = 30,743.03 × 6,456.20
  4. Step 4: Simplify right side
    20,492.63x = 198,483,150.29
  5. Step 5: Solve for x
    x = 198,483,150.29/20,492.63
  6. Step 6: Final answer
    x = 9,685.59

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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.