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Finding the Fourth Proportional to 18,580.12, 27,871.62 and 4,729

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Solution

The fourth proportional to 18,580.12, 27,871.62 and 4,729 is: 7,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.12 : 27,871.62 = 4,729 : x
  2. Step 2: Convert to fraction form
    18,580.12/27,871.62 = 4,729/x
  3. Step 3: Cross multiply
    18,580.12x = 27,871.62 × 4,729
  4. Step 4: Simplify right side
    18,580.12x = 131,804,890.98
  5. Step 5: Solve for x
    x = 131,804,890.98/18,580.12
  6. Step 6: Final answer
    x = 7,093.87

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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.