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Finding the Fourth Proportional to 6,301.60, 9,459.60 and 3,839.20

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Solution

The fourth proportional to 6,301.60, 9,459.60 and 3,839.20 is: 5,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.60 : 9,459.60 = 3,839.20 : x
  2. Step 2: Convert to fraction form
    6,301.60/9,459.60 = 3,839.20/x
  3. Step 3: Cross multiply
    6,301.60x = 9,459.60 × 3,839.20
  4. Step 4: Simplify right side
    6,301.60x = 36,317,296.32
  5. Step 5: Solve for x
    x = 36,317,296.32/6,301.60
  6. Step 6: Final answer
    x = 5,763.19

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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.