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Finding the Fourth Proportional to 20,428.68, 30,643.05 and 6,388.78

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Solution

The fourth proportional to 20,428.68, 30,643.05 and 6,388.78 is: 9,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.68 : 30,643.05 = 6,388.78 : x
  2. Step 2: Convert to fraction form
    20,428.68/30,643.05 = 6,388.78/x
  3. Step 3: Cross multiply
    20,428.68x = 30,643.05 × 6,388.78
  4. Step 4: Simplify right side
    20,428.68x = 195,771,673.04
  5. Step 5: Solve for x
    x = 195,771,673.04/20,428.68
  6. Step 6: Final answer
    x = 9,583.18

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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.