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Finding the Fourth Proportional to 7,847.96, 11,777.64 and 2,918.32

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Solution

The fourth proportional to 7,847.96, 11,777.64 and 2,918.32 is: 4,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.96 : 11,777.64 = 2,918.32 : x
  2. Step 2: Convert to fraction form
    7,847.96/11,777.64 = 2,918.32/x
  3. Step 3: Cross multiply
    7,847.96x = 11,777.64 × 2,918.32
  4. Step 4: Simplify right side
    7,847.96x = 34,370,922.36
  5. Step 5: Solve for x
    x = 34,370,922.36/7,847.96
  6. Step 6: Final answer
    x = 4,379.60

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1.5x scale

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.