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Finding the Fourth Proportional to 13,753, 20,612.40 and 4,978.27

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Solution

The fourth proportional to 13,753, 20,612.40 and 4,978.27 is: 7,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753 : 20,612.40 = 4,978.27 : x
  2. Step 2: Convert to fraction form
    13,753/20,612.40 = 4,978.27/x
  3. Step 3: Cross multiply
    13,753x = 20,612.40 × 4,978.27
  4. Step 4: Simplify right side
    13,753x = 102,614,092.55
  5. Step 5: Solve for x
    x = 102,614,092.55/13,753
  6. Step 6: Final answer
    x = 7,461.22

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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.