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Finding the Fourth Proportional to 12,493.77, 18,749.87 and 5,919.93

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Solution

The fourth proportional to 12,493.77, 18,749.87 and 5,919.93 is: 8,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.77 : 18,749.87 = 5,919.93 : x
  2. Step 2: Convert to fraction form
    12,493.77/18,749.87 = 5,919.93/x
  3. Step 3: Cross multiply
    12,493.77x = 18,749.87 × 5,919.93
  4. Step 4: Simplify right side
    12,493.77x = 110,997,888.31
  5. Step 5: Solve for x
    x = 110,997,888.31/12,493.77
  6. Step 6: Final answer
    x = 8,884.26

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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.