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Finding the Fourth Proportional to 7,909.86, 11,865.87 and 2,715.06

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Solution

The fourth proportional to 7,909.86, 11,865.87 and 2,715.06 is: 4,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.86 : 11,865.87 = 2,715.06 : x
  2. Step 2: Convert to fraction form
    7,909.86/11,865.87 = 2,715.06/x
  3. Step 3: Cross multiply
    7,909.86x = 11,865.87 × 2,715.06
  4. Step 4: Simplify right side
    7,909.86x = 32,216,549.00
  5. Step 5: Solve for x
    x = 32,216,549.00/7,909.86
  6. Step 6: Final answer
    x = 4,072.96

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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.