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Finding the Fourth Proportional to 5,657, 7,806.70 and 3,449

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Solution

The fourth proportional to 5,657, 7,806.70 and 3,449 is: 4,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 7,806.70 = 3,449 : x
  2. Step 2: Convert to fraction form
    5,657/7,806.70 = 3,449/x
  3. Step 3: Cross multiply
    5,657x = 7,806.70 × 3,449
  4. Step 4: Simplify right side
    5,657x = 26,925,308.30
  5. Step 5: Solve for x
    x = 26,925,308.30/5,657
  6. Step 6: Final answer
    x = 4,759.64

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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.