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Finding the Fourth Proportional to 20,564.76, 30,846.84 and 4,982.28

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Solution

The fourth proportional to 20,564.76, 30,846.84 and 4,982.28 is: 7,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.76 : 30,846.84 = 4,982.28 : x
  2. Step 2: Convert to fraction form
    20,564.76/30,846.84 = 4,982.28/x
  3. Step 3: Cross multiply
    20,564.76x = 30,846.84 × 4,982.28
  4. Step 4: Simplify right side
    20,564.76x = 153,687,594.00
  5. Step 5: Solve for x
    x = 153,687,594.00/20,564.76
  6. Step 6: Final answer
    x = 7,473.35

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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.