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Finding the Fourth Proportional to 5,317.86, 7,971.62 and 2,979

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Solution

The fourth proportional to 5,317.86, 7,971.62 and 2,979 is: 4,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.86 : 7,971.62 = 2,979 : x
  2. Step 2: Convert to fraction form
    5,317.86/7,971.62 = 2,979/x
  3. Step 3: Cross multiply
    5,317.86x = 7,971.62 × 2,979
  4. Step 4: Simplify right side
    5,317.86x = 23,747,455.98
  5. Step 5: Solve for x
    x = 23,747,455.98/5,317.86
  6. Step 6: Final answer
    x = 4,465.60

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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.