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Finding the Fourth Proportional to 5,657, 7,806.66 and 3,173

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Solution

The fourth proportional to 5,657, 7,806.66 and 3,173 is: 4,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657 : 7,806.66 = 3,173 : x
  2. Step 2: Convert to fraction form
    5,657/7,806.66 = 3,173/x
  3. Step 3: Cross multiply
    5,657x = 7,806.66 × 3,173
  4. Step 4: Simplify right side
    5,657x = 24,770,532.18
  5. Step 5: Solve for x
    x = 24,770,532.18/5,657
  6. Step 6: Final answer
    x = 4,378.74

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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.