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Finding the Fourth Proportional to 4,679.60, 7,019.80 and 1,601.60

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Solution

The fourth proportional to 4,679.60, 7,019.80 and 1,601.60 is: 2,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.60 : 7,019.80 = 1,601.60 : x
  2. Step 2: Convert to fraction form
    4,679.60/7,019.80 = 1,601.60/x
  3. Step 3: Cross multiply
    4,679.60x = 7,019.80 × 1,601.60
  4. Step 4: Simplify right side
    4,679.60x = 11,242,911.68
  5. Step 5: Solve for x
    x = 11,242,911.68/4,679.60
  6. Step 6: Final answer
    x = 2,402.54

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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.