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Finding the Fourth Proportional to 12,779.62, 17,642.24 and 9,901.89

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Solution

The fourth proportional to 12,779.62, 17,642.24 and 9,901.89 is: 13,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.62 : 17,642.24 = 9,901.89 : x
  2. Step 2: Convert to fraction form
    12,779.62/17,642.24 = 9,901.89/x
  3. Step 3: Cross multiply
    12,779.62x = 17,642.24 × 9,901.89
  4. Step 4: Simplify right side
    12,779.62x = 174,691,519.83
  5. Step 5: Solve for x
    x = 174,691,519.83/12,779.62
  6. Step 6: Final answer
    x = 13,669.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.