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Finding the Fourth Proportional to 10,661.72, 15,978.60 and 4,736.60

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Solution

The fourth proportional to 10,661.72, 15,978.60 and 4,736.60 is: 7,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.72 : 15,978.60 = 4,736.60 : x
  2. Step 2: Convert to fraction form
    10,661.72/15,978.60 = 4,736.60/x
  3. Step 3: Cross multiply
    10,661.72x = 15,978.60 × 4,736.60
  4. Step 4: Simplify right side
    10,661.72x = 75,684,236.76
  5. Step 5: Solve for x
    x = 75,684,236.76/10,661.72
  6. Step 6: Final answer
    x = 7,098.69

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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.