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Finding the Fourth Proportional to 11,779.28, 17,655.96 and 7,874

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Solution

The fourth proportional to 11,779.28, 17,655.96 and 7,874 is: 11,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.28 : 17,655.96 = 7,874 : x
  2. Step 2: Convert to fraction form
    11,779.28/17,655.96 = 7,874/x
  3. Step 3: Cross multiply
    11,779.28x = 17,655.96 × 7,874
  4. Step 4: Simplify right side
    11,779.28x = 139,023,029.04
  5. Step 5: Solve for x
    x = 139,023,029.04/11,779.28
  6. Step 6: Final answer
    x = 11,802.34

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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.