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Finding the Fourth Proportional to 13,981.02, 20,978.86 and 5,661.92

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Solution

The fourth proportional to 13,981.02, 20,978.86 and 5,661.92 is: 8,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.02 : 20,978.86 = 5,661.92 : x
  2. Step 2: Convert to fraction form
    13,981.02/20,978.86 = 5,661.92/x
  3. Step 3: Cross multiply
    13,981.02x = 20,978.86 × 5,661.92
  4. Step 4: Simplify right side
    13,981.02x = 118,780,627.01
  5. Step 5: Solve for x
    x = 118,780,627.01/13,981.02
  6. Step 6: Final answer
    x = 8,495.85

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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.