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Finding the Fourth Proportional to 8,782.08, 12,114 and 5,797.92

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Solution

The fourth proportional to 8,782.08, 12,114 and 5,797.92 is: 7,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.08 : 12,114 = 5,797.92 : x
  2. Step 2: Convert to fraction form
    8,782.08/12,114 = 5,797.92/x
  3. Step 3: Cross multiply
    8,782.08x = 12,114 × 5,797.92
  4. Step 4: Simplify right side
    8,782.08x = 70,236,002.88
  5. Step 5: Solve for x
    x = 70,236,002.88/8,782.08
  6. Step 6: Final answer
    x = 7,997.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.