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Finding the Fourth Proportional to 5,317.86, 7,960.32 and 4,530.54

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Solution

The fourth proportional to 5,317.86, 7,960.32 and 4,530.54 is: 6,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.86 : 7,960.32 = 4,530.54 : x
  2. Step 2: Convert to fraction form
    5,317.86/7,960.32 = 4,530.54/x
  3. Step 3: Cross multiply
    5,317.86x = 7,960.32 × 4,530.54
  4. Step 4: Simplify right side
    5,317.86x = 36,064,548.17
  5. Step 5: Solve for x
    x = 36,064,548.17/5,317.86
  6. Step 6: Final answer
    x = 6,781.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.