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Finding the Fourth Proportional to 20,386.92, 30,608.46 and 10,533

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Solution

The fourth proportional to 20,386.92, 30,608.46 and 10,533 is: 15,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.92 : 30,608.46 = 10,533 : x
  2. Step 2: Convert to fraction form
    20,386.92/30,608.46 = 10,533/x
  3. Step 3: Cross multiply
    20,386.92x = 30,608.46 × 10,533
  4. Step 4: Simplify right side
    20,386.92x = 322,398,909.18
  5. Step 5: Solve for x
    x = 322,398,909.18/20,386.92
  6. Step 6: Final answer
    x = 15,814.01

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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.