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Finding the Fourth Proportional to 7,713.99, 11,565 and 3,551.04

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Solution

The fourth proportional to 7,713.99, 11,565 and 3,551.04 is: 5,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.99 : 11,565 = 3,551.04 : x
  2. Step 2: Convert to fraction form
    7,713.99/11,565 = 3,551.04/x
  3. Step 3: Cross multiply
    7,713.99x = 11,565 × 3,551.04
  4. Step 4: Simplify right side
    7,713.99x = 41,067,777.60
  5. Step 5: Solve for x
    x = 41,067,777.60/7,713.99
  6. Step 6: Final answer
    x = 5,323.80

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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.