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Finding the Fourth Proportional to 7,807.86, 11,713.50 and 3,645.59

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Solution

The fourth proportional to 7,807.86, 11,713.50 and 3,645.59 is: 5,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.86 : 11,713.50 = 3,645.59 : x
  2. Step 2: Convert to fraction form
    7,807.86/11,713.50 = 3,645.59/x
  3. Step 3: Cross multiply
    7,807.86x = 11,713.50 × 3,645.59
  4. Step 4: Simplify right side
    7,807.86x = 42,702,559.90
  5. Step 5: Solve for x
    x = 42,702,559.90/7,807.86
  6. Step 6: Final answer
    x = 5,469.18

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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.