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Finding the Fourth Proportional to 12,587.86, 17,371.64 and 6,923.19

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Solution

The fourth proportional to 12,587.86, 17,371.64 and 6,923.19 is: 9,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.86 : 17,371.64 = 6,923.19 : x
  2. Step 2: Convert to fraction form
    12,587.86/17,371.64 = 6,923.19/x
  3. Step 3: Cross multiply
    12,587.86x = 17,371.64 × 6,923.19
  4. Step 4: Simplify right side
    12,587.86x = 120,267,202.88
  5. Step 5: Solve for x
    x = 120,267,202.88/12,587.86
  6. Step 6: Final answer
    x = 9,554.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.