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Finding the Fourth Proportional to 13,762.78, 20,636.88 and 5,442.46

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Solution

The fourth proportional to 13,762.78, 20,636.88 and 5,442.46 is: 8,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.78 : 20,636.88 = 5,442.46 : x
  2. Step 2: Convert to fraction form
    13,762.78/20,636.88 = 5,442.46/x
  3. Step 3: Cross multiply
    13,762.78x = 20,636.88 × 5,442.46
  4. Step 4: Simplify right side
    13,762.78x = 112,315,393.92
  5. Step 5: Solve for x
    x = 112,315,393.92/13,762.78
  6. Step 6: Final answer
    x = 8,160.81

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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.