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Finding the Fourth Proportional to 7,840.96, 11,754 and 2,909.32

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Solution

The fourth proportional to 7,840.96, 11,754 and 2,909.32 is: 4,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.96 : 11,754 = 2,909.32 : x
  2. Step 2: Convert to fraction form
    7,840.96/11,754 = 2,909.32/x
  3. Step 3: Cross multiply
    7,840.96x = 11,754 × 2,909.32
  4. Step 4: Simplify right side
    7,840.96x = 34,196,147.28
  5. Step 5: Solve for x
    x = 34,196,147.28/7,840.96
  6. Step 6: Final answer
    x = 4,361.22

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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.