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Finding the Fourth Proportional to 10,661.76, 15,992.96 and 3,641.60

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Solution

The fourth proportional to 10,661.76, 15,992.96 and 3,641.60 is: 5,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.76 : 15,992.96 = 3,641.60 : x
  2. Step 2: Convert to fraction form
    10,661.76/15,992.96 = 3,641.60/x
  3. Step 3: Cross multiply
    10,661.76x = 15,992.96 × 3,641.60
  4. Step 4: Simplify right side
    10,661.76x = 58,239,963.14
  5. Step 5: Solve for x
    x = 58,239,963.14/10,661.76
  6. Step 6: Final answer
    x = 5,462.51

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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.