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Finding the Fourth Proportional to 12,662.64, 17,474.40 and 6,997.68

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Solution

The fourth proportional to 12,662.64, 17,474.40 and 6,997.68 is: 9,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.64 : 17,474.40 = 6,997.68 : x
  2. Step 2: Convert to fraction form
    12,662.64/17,474.40 = 6,997.68/x
  3. Step 3: Cross multiply
    12,662.64x = 17,474.40 × 6,997.68
  4. Step 4: Simplify right side
    12,662.64x = 122,280,259.39
  5. Step 5: Solve for x
    x = 122,280,259.39/12,662.64
  6. Step 6: Final answer
    x = 9,656.77

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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.