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Finding the Fourth Proportional to 7,909.76, 11,856.54 and 2,975.96

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Solution

The fourth proportional to 7,909.76, 11,856.54 and 2,975.96 is: 4,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.76 : 11,856.54 = 2,975.96 : x
  2. Step 2: Convert to fraction form
    7,909.76/11,856.54 = 2,975.96/x
  3. Step 3: Cross multiply
    7,909.76x = 11,856.54 × 2,975.96
  4. Step 4: Simplify right side
    7,909.76x = 35,284,588.78
  5. Step 5: Solve for x
    x = 35,284,588.78/7,909.76
  6. Step 6: Final answer
    x = 4,460.89

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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.