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Finding the Fourth Proportional to 6,479.60, 9,729.11 and 3,709.40

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Solution

The fourth proportional to 6,479.60, 9,729.11 and 3,709.40 is: 5,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.60 : 9,729.11 = 3,709.40 : x
  2. Step 2: Convert to fraction form
    6,479.60/9,729.11 = 3,709.40/x
  3. Step 3: Cross multiply
    6,479.60x = 9,729.11 × 3,709.40
  4. Step 4: Simplify right side
    6,479.60x = 36,089,121.26
  5. Step 5: Solve for x
    x = 36,089,121.26/6,479.60
  6. Step 6: Final answer
    x = 5,569.66

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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.