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Finding the Fourth Proportional to 20,784, 31,175.82 and 5,201.70

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Solution

The fourth proportional to 20,784, 31,175.82 and 5,201.70 is: 7,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 31,175.82 = 5,201.70 : x
  2. Step 2: Convert to fraction form
    20,784/31,175.82 = 5,201.70/x
  3. Step 3: Cross multiply
    20,784x = 31,175.82 × 5,201.70
  4. Step 4: Simplify right side
    20,784x = 162,167,262.89
  5. Step 5: Solve for x
    x = 162,167,262.89/20,784
  6. Step 6: Final answer
    x = 7,802.50

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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.