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Finding the Fourth Proportional to 7,690.94, 11,525.69 and 5,815.28

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Solution

The fourth proportional to 7,690.94, 11,525.69 and 5,815.28 is: 8,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.94 : 11,525.69 = 5,815.28 : x
  2. Step 2: Convert to fraction form
    7,690.94/11,525.69 = 5,815.28/x
  3. Step 3: Cross multiply
    7,690.94x = 11,525.69 × 5,815.28
  4. Step 4: Simplify right side
    7,690.94x = 67,025,114.54
  5. Step 5: Solve for x
    x = 67,025,114.54/7,690.94
  6. Step 6: Final answer
    x = 8,714.81

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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.