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Finding the Fourth Proportional to 20,968, 31,452 and 5,385.63

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Solution

The fourth proportional to 20,968, 31,452 and 5,385.63 is: 8,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968 : 31,452 = 5,385.63 : x
  2. Step 2: Convert to fraction form
    20,968/31,452 = 5,385.63/x
  3. Step 3: Cross multiply
    20,968x = 31,452 × 5,385.63
  4. Step 4: Simplify right side
    20,968x = 169,388,834.76
  5. Step 5: Solve for x
    x = 169,388,834.76/20,968
  6. Step 6: Final answer
    x = 8,078.45

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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.