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Finding the Fourth Proportional to 20,615.49, 30,855.54 and 15,657.82

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Solution

The fourth proportional to 20,615.49, 30,855.54 and 15,657.82 is: 23,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.49 : 30,855.54 = 15,657.82 : x
  2. Step 2: Convert to fraction form
    20,615.49/30,855.54 = 15,657.82/x
  3. Step 3: Cross multiply
    20,615.49x = 30,855.54 × 15,657.82
  4. Step 4: Simplify right side
    20,615.49x = 483,130,414.18
  5. Step 5: Solve for x
    x = 483,130,414.18/20,615.49
  6. Step 6: Final answer
    x = 23,435.31

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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.