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Finding the Fourth Proportional to 8,695.82, 12,005.44 and 5,716.64

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Solution

The fourth proportional to 8,695.82, 12,005.44 and 5,716.64 is: 7,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.82 : 12,005.44 = 5,716.64 : x
  2. Step 2: Convert to fraction form
    8,695.82/12,005.44 = 5,716.64/x
  3. Step 3: Cross multiply
    8,695.82x = 12,005.44 × 5,716.64
  4. Step 4: Simplify right side
    8,695.82x = 68,630,778.52
  5. Step 5: Solve for x
    x = 68,630,778.52/8,695.82
  6. Step 6: Final answer
    x = 7,892.39

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1.5x scale

Why These Related Problems?

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