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Finding the Fourth Proportional to 20,790, 31,185.68 and 5,207.63

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Solution

The fourth proportional to 20,790, 31,185.68 and 5,207.63 is: 7,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790 : 31,185.68 = 5,207.63 : x
  2. Step 2: Convert to fraction form
    20,790/31,185.68 = 5,207.63/x
  3. Step 3: Cross multiply
    20,790x = 31,185.68 × 5,207.63
  4. Step 4: Simplify right side
    20,790x = 162,403,300.77
  5. Step 5: Solve for x
    x = 162,403,300.77/20,790
  6. Step 6: Final answer
    x = 7,811.61

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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.