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Finding the Fourth Proportional to 9,921.60, 13,725.72 and 8,149.68

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Solution

The fourth proportional to 9,921.60, 13,725.72 and 8,149.68 is: 11,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.60 : 13,725.72 = 8,149.68 : x
  2. Step 2: Convert to fraction form
    9,921.60/13,725.72 = 8,149.68/x
  3. Step 3: Cross multiply
    9,921.60x = 13,725.72 × 8,149.68
  4. Step 4: Simplify right side
    9,921.60x = 111,860,225.77
  5. Step 5: Solve for x
    x = 111,860,225.77/9,921.60
  6. Step 6: Final answer
    x = 11,274.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.