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Finding the Fourth Proportional to 6,261.60, 9,379.80 and 3,914.40

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Solution

The fourth proportional to 6,261.60, 9,379.80 and 3,914.40 is: 5,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.60 : 9,379.80 = 3,914.40 : x
  2. Step 2: Convert to fraction form
    6,261.60/9,379.80 = 3,914.40/x
  3. Step 3: Cross multiply
    6,261.60x = 9,379.80 × 3,914.40
  4. Step 4: Simplify right side
    6,261.60x = 36,716,289.12
  5. Step 5: Solve for x
    x = 36,716,289.12/6,261.60
  6. Step 6: Final answer
    x = 5,863.72

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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.