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Finding the Fourth Proportional to 4,806.48, 7,209.80 and 1,343.60

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Solution

The fourth proportional to 4,806.48, 7,209.80 and 1,343.60 is: 2,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.48 : 7,209.80 = 1,343.60 : x
  2. Step 2: Convert to fraction form
    4,806.48/7,209.80 = 1,343.60/x
  3. Step 3: Cross multiply
    4,806.48x = 7,209.80 × 1,343.60
  4. Step 4: Simplify right side
    4,806.48x = 9,687,087.28
  5. Step 5: Solve for x
    x = 9,687,087.28/4,806.48
  6. Step 6: Final answer
    x = 2,015.42

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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.