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Finding the Fourth Proportional to 20,898, 31,348.82 and 5,315.63

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Solution

The fourth proportional to 20,898, 31,348.82 and 5,315.63 is: 7,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 31,348.82 = 5,315.63 : x
  2. Step 2: Convert to fraction form
    20,898/31,348.82 = 5,315.63/x
  3. Step 3: Cross multiply
    20,898x = 31,348.82 × 5,315.63
  4. Step 4: Simplify right side
    20,898x = 166,638,584.60
  5. Step 5: Solve for x
    x = 166,638,584.60/20,898
  6. Step 6: Final answer
    x = 7,973.90

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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.