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Finding the Fourth Proportional to 5,657.43, 7,808.15 and 3,419.64

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Solution

The fourth proportional to 5,657.43, 7,808.15 and 3,419.64 is: 4,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.43 : 7,808.15 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    5,657.43/7,808.15 = 3,419.64/x
  3. Step 3: Cross multiply
    5,657.43x = 7,808.15 × 3,419.64
  4. Step 4: Simplify right side
    5,657.43x = 26,701,044.97
  5. Step 5: Solve for x
    x = 26,701,044.97/5,657.43
  6. Step 6: Final answer
    x = 4,719.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.