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Finding the Fourth Proportional to 12,160, 18,232.71 and 4,755.64

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Solution

The fourth proportional to 12,160, 18,232.71 and 4,755.64 is: 7,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160 : 18,232.71 = 4,755.64 : x
  2. Step 2: Convert to fraction form
    12,160/18,232.71 = 4,755.64/x
  3. Step 3: Cross multiply
    12,160x = 18,232.71 × 4,755.64
  4. Step 4: Simplify right side
    12,160x = 86,708,204.98
  5. Step 5: Solve for x
    x = 86,708,204.98/12,160
  6. Step 6: Final answer
    x = 7,130.61

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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.