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Finding the Fourth Proportional to 6,419.80, 9,629.82 and 1,802.68

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Solution

The fourth proportional to 6,419.80, 9,629.82 and 1,802.68 is: 2,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.80 : 9,629.82 = 1,802.68 : x
  2. Step 2: Convert to fraction form
    6,419.80/9,629.82 = 1,802.68/x
  3. Step 3: Cross multiply
    6,419.80x = 9,629.82 × 1,802.68
  4. Step 4: Simplify right side
    6,419.80x = 17,359,483.92
  5. Step 5: Solve for x
    x = 17,359,483.92/6,419.80
  6. Step 6: Final answer
    x = 2,704.05

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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.