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Finding the Fourth Proportional to 5,779.86, 7,971.93 and 3,684.66

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Solution

The fourth proportional to 5,779.86, 7,971.93 and 3,684.66 is: 5,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.86 : 7,971.93 = 3,684.66 : x
  2. Step 2: Convert to fraction form
    5,779.86/7,971.93 = 3,684.66/x
  3. Step 3: Cross multiply
    5,779.86x = 7,971.93 × 3,684.66
  4. Step 4: Simplify right side
    5,779.86x = 29,373,851.59
  5. Step 5: Solve for x
    x = 29,373,851.59/5,779.86
  6. Step 6: Final answer
    x = 5,082.10

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Why These Related Problems?

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