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Finding the Fourth Proportional to 4,656.86, 6,978.60 and 3,611.96

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Solution

The fourth proportional to 4,656.86, 6,978.60 and 3,611.96 is: 5,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.86 : 6,978.60 = 3,611.96 : x
  2. Step 2: Convert to fraction form
    4,656.86/6,978.60 = 3,611.96/x
  3. Step 3: Cross multiply
    4,656.86x = 6,978.60 × 3,611.96
  4. Step 4: Simplify right side
    4,656.86x = 25,206,389.16
  5. Step 5: Solve for x
    x = 25,206,389.16/4,656.86
  6. Step 6: Final answer
    x = 5,412.75

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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.