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Finding the Fourth Proportional to 10,671.20, 16,009.60 and 4,097.60

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Solution

The fourth proportional to 10,671.20, 16,009.60 and 4,097.60 is: 6,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.20 : 16,009.60 = 4,097.60 : x
  2. Step 2: Convert to fraction form
    10,671.20/16,009.60 = 4,097.60/x
  3. Step 3: Cross multiply
    10,671.20x = 16,009.60 × 4,097.60
  4. Step 4: Simplify right side
    10,671.20x = 65,600,936.96
  5. Step 5: Solve for x
    x = 65,600,936.96/10,671.20
  6. Step 6: Final answer
    x = 6,147.48

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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.