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Finding the Fourth Proportional to 12,021, 18,026.47 and 5,779.54

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Solution

The fourth proportional to 12,021, 18,026.47 and 5,779.54 is: 8,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021 : 18,026.47 = 5,779.54 : x
  2. Step 2: Convert to fraction form
    12,021/18,026.47 = 5,779.54/x
  3. Step 3: Cross multiply
    12,021x = 18,026.47 × 5,779.54
  4. Step 4: Simplify right side
    12,021x = 104,184,704.42
  5. Step 5: Solve for x
    x = 104,184,704.42/12,021
  6. Step 6: Final answer
    x = 8,666.89

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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.