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Finding the Fourth Proportional to 20,788, 31,182.27 and 6,937

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Solution

The fourth proportional to 20,788, 31,182.27 and 6,937 is: 10,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788 : 31,182.27 = 6,937 : x
  2. Step 2: Convert to fraction form
    20,788/31,182.27 = 6,937/x
  3. Step 3: Cross multiply
    20,788x = 31,182.27 × 6,937
  4. Step 4: Simplify right side
    20,788x = 216,311,406.99
  5. Step 5: Solve for x
    x = 216,311,406.99/20,788
  6. Step 6: Final answer
    x = 10,405.59

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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.