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Finding the Fourth Proportional to 11,862, 17,779.29 and 4,461.72

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Solution

The fourth proportional to 11,862, 17,779.29 and 4,461.72 is: 6,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 17,779.29 = 4,461.72 : x
  2. Step 2: Convert to fraction form
    11,862/17,779.29 = 4,461.72/x
  3. Step 3: Cross multiply
    11,862x = 17,779.29 × 4,461.72
  4. Step 4: Simplify right side
    11,862x = 79,326,213.78
  5. Step 5: Solve for x
    x = 79,326,213.78/11,862
  6. Step 6: Final answer
    x = 6,687.42

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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.