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Finding the Fourth Proportional to 11,587.72, 15,991.06 and 6,282.60

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Solution

The fourth proportional to 11,587.72, 15,991.06 and 6,282.60 is: 8,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.72 : 15,991.06 = 6,282.60 : x
  2. Step 2: Convert to fraction form
    11,587.72/15,991.06 = 6,282.60/x
  3. Step 3: Cross multiply
    11,587.72x = 15,991.06 × 6,282.60
  4. Step 4: Simplify right side
    11,587.72x = 100,465,433.56
  5. Step 5: Solve for x
    x = 100,465,433.56/11,587.72
  6. Step 6: Final answer
    x = 8,669.99

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