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Finding the Fourth Proportional to 11,770, 17,643.08 and 7,390.56

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Solution

The fourth proportional to 11,770, 17,643.08 and 7,390.56 is: 11,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770 : 17,643.08 = 7,390.56 : x
  2. Step 2: Convert to fraction form
    11,770/17,643.08 = 7,390.56/x
  3. Step 3: Cross multiply
    11,770x = 17,643.08 × 7,390.56
  4. Step 4: Simplify right side
    11,770x = 130,392,241.32
  5. Step 5: Solve for x
    x = 130,392,241.32/11,770
  6. Step 6: Final answer
    x = 11,078.36

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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.