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Finding the Fourth Proportional to 3,207.60, 4,809.60 and 1,474.08

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Solution

The fourth proportional to 3,207.60, 4,809.60 and 1,474.08 is: 2,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.60 : 4,809.60 = 1,474.08 : x
  2. Step 2: Convert to fraction form
    3,207.60/4,809.60 = 1,474.08/x
  3. Step 3: Cross multiply
    3,207.60x = 4,809.60 × 1,474.08
  4. Step 4: Simplify right side
    3,207.60x = 7,089,735.17
  5. Step 5: Solve for x
    x = 7,089,735.17/3,207.60
  6. Step 6: Final answer
    x = 2,210.29

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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.