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Finding the Fourth Proportional to 11,777.50, 17,664.43 and 7,646.81

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Solution

The fourth proportional to 11,777.50, 17,664.43 and 7,646.81 is: 11,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.50 : 17,664.43 = 7,646.81 : x
  2. Step 2: Convert to fraction form
    11,777.50/17,664.43 = 7,646.81/x
  3. Step 3: Cross multiply
    11,777.50x = 17,664.43 × 7,646.81
  4. Step 4: Simplify right side
    11,777.50x = 135,076,446.87
  5. Step 5: Solve for x
    x = 135,076,446.87/11,777.50
  6. Step 6: Final answer
    x = 11,469.02

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1.5x scale

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.