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Finding the Fourth Proportional to 7,409.60, 11,096.40 and 3,939.20

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Solution

The fourth proportional to 7,409.60, 11,096.40 and 3,939.20 is: 5,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.60 : 11,096.40 = 3,939.20 : x
  2. Step 2: Convert to fraction form
    7,409.60/11,096.40 = 3,939.20/x
  3. Step 3: Cross multiply
    7,409.60x = 11,096.40 × 3,939.20
  4. Step 4: Simplify right side
    7,409.60x = 43,710,938.88
  5. Step 5: Solve for x
    x = 43,710,938.88/7,409.60
  6. Step 6: Final answer
    x = 5,899.23

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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.