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Finding the Fourth Proportional to 13,478, 20,216.16 and 5,042.84

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Solution

The fourth proportional to 13,478, 20,216.16 and 5,042.84 is: 7,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 20,216.16 = 5,042.84 : x
  2. Step 2: Convert to fraction form
    13,478/20,216.16 = 5,042.84/x
  3. Step 3: Cross multiply
    13,478x = 20,216.16 × 5,042.84
  4. Step 4: Simplify right side
    13,478x = 101,946,860.29
  5. Step 5: Solve for x
    x = 101,946,860.29/13,478
  6. Step 6: Final answer
    x = 7,563.95

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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.