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Finding the Fourth Proportional to 11,585.96, 15,976.62 and 9,912.90

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Solution

The fourth proportional to 11,585.96, 15,976.62 and 9,912.90 is: 13,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.96 : 15,976.62 = 9,912.90 : x
  2. Step 2: Convert to fraction form
    11,585.96/15,976.62 = 9,912.90/x
  3. Step 3: Cross multiply
    11,585.96x = 15,976.62 × 9,912.90
  4. Step 4: Simplify right side
    11,585.96x = 158,374,636.40
  5. Step 5: Solve for x
    x = 158,374,636.40/11,585.96
  6. Step 6: Final answer
    x = 13,669.54

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1.5x scale

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.