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Finding the Fourth Proportional to 18,871.89, 28,308.78 and 7,186.02

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Solution

The fourth proportional to 18,871.89, 28,308.78 and 7,186.02 is: 10,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871.89 : 28,308.78 = 7,186.02 : x
  2. Step 2: Convert to fraction form
    18,871.89/28,308.78 = 7,186.02/x
  3. Step 3: Cross multiply
    18,871.89x = 28,308.78 × 7,186.02
  4. Step 4: Simplify right side
    18,871.89x = 203,427,459.26
  5. Step 5: Solve for x
    x = 203,427,459.26/18,871.89
  6. Step 6: Final answer
    x = 10,779.39

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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.