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Finding the Fourth Proportional to 7,909.97, 11,863.92 and 3,526.40

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Solution

The fourth proportional to 7,909.97, 11,863.92 and 3,526.40 is: 5,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.97 : 11,863.92 = 3,526.40 : x
  2. Step 2: Convert to fraction form
    7,909.97/11,863.92 = 3,526.40/x
  3. Step 3: Cross multiply
    7,909.97x = 11,863.92 × 3,526.40
  4. Step 4: Simplify right side
    7,909.97x = 41,836,927.49
  5. Step 5: Solve for x
    x = 41,836,927.49/7,909.97
  6. Step 6: Final answer
    x = 5,289.14

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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.