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Finding the Fourth Proportional to 11,578, 17,390.32 and 6,907.14

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Solution

The fourth proportional to 11,578, 17,390.32 and 6,907.14 is: 10,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578 : 17,390.32 = 6,907.14 : x
  2. Step 2: Convert to fraction form
    11,578/17,390.32 = 6,907.14/x
  3. Step 3: Cross multiply
    11,578x = 17,390.32 × 6,907.14
  4. Step 4: Simplify right side
    11,578x = 120,117,374.88
  5. Step 5: Solve for x
    x = 120,117,374.88/11,578
  6. Step 6: Final answer
    x = 10,374.62

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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.