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Finding the Fourth Proportional to 11,565.79, 15,961.05 and 7,091.96

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Solution

The fourth proportional to 11,565.79, 15,961.05 and 7,091.96 is: 9,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.79 : 15,961.05 = 7,091.96 : x
  2. Step 2: Convert to fraction form
    11,565.79/15,961.05 = 7,091.96/x
  3. Step 3: Cross multiply
    11,565.79x = 15,961.05 × 7,091.96
  4. Step 4: Simplify right side
    11,565.79x = 113,195,048.35
  5. Step 5: Solve for x
    x = 113,195,048.35/11,565.79
  6. Step 6: Final answer
    x = 9,787.06

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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.