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Finding the Fourth Proportional to 7,797.80, 11,702.64 and 5,723.36

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Solution

The fourth proportional to 7,797.80, 11,702.64 and 5,723.36 is: 8,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.80 : 11,702.64 = 5,723.36 : x
  2. Step 2: Convert to fraction form
    7,797.80/11,702.64 = 5,723.36/x
  3. Step 3: Cross multiply
    7,797.80x = 11,702.64 × 5,723.36
  4. Step 4: Simplify right side
    7,797.80x = 66,978,421.67
  5. Step 5: Solve for x
    x = 66,978,421.67/7,797.80
  6. Step 6: Final answer
    x = 8,589.40

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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.