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Finding the Fourth Proportional to 15,615, 23,419.64 and 4,518.96

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Solution

The fourth proportional to 15,615, 23,419.64 and 4,518.96 is: 6,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,615 : 23,419.64 = 4,518.96 : x
  2. Step 2: Convert to fraction form
    15,615/23,419.64 = 4,518.96/x
  3. Step 3: Cross multiply
    15,615x = 23,419.64 × 4,518.96
  4. Step 4: Simplify right side
    15,615x = 105,832,416.37
  5. Step 5: Solve for x
    x = 105,832,416.37/15,615
  6. Step 6: Final answer
    x = 6,777.61

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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.