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Finding the Fourth Proportional to 11,930, 17,888.44 and 5,362.64

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Solution

The fourth proportional to 11,930, 17,888.44 and 5,362.64 is: 8,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930 : 17,888.44 = 5,362.64 : x
  2. Step 2: Convert to fraction form
    11,930/17,888.44 = 5,362.64/x
  3. Step 3: Cross multiply
    11,930x = 17,888.44 × 5,362.64
  4. Step 4: Simplify right side
    11,930x = 95,929,263.88
  5. Step 5: Solve for x
    x = 95,929,263.88/11,930
  6. Step 6: Final answer
    x = 8,041.01

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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.