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Finding the Fourth Proportional to 20,428.60, 30,643.80 and 11,543.80

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Solution

The fourth proportional to 20,428.60, 30,643.80 and 11,543.80 is: 17,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.60 : 30,643.80 = 11,543.80 : x
  2. Step 2: Convert to fraction form
    20,428.60/30,643.80 = 11,543.80/x
  3. Step 3: Cross multiply
    20,428.60x = 30,643.80 × 11,543.80
  4. Step 4: Simplify right side
    20,428.60x = 353,745,898.44
  5. Step 5: Solve for x
    x = 353,745,898.44/20,428.60
  6. Step 6: Final answer
    x = 17,316.21

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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.