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Finding the Fourth Proportional to 5,657.16, 7,806.90 and 3,173

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Solution

The fourth proportional to 5,657.16, 7,806.90 and 3,173 is: 4,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.16 : 7,806.90 = 3,173 : x
  2. Step 2: Convert to fraction form
    5,657.16/7,806.90 = 3,173/x
  3. Step 3: Cross multiply
    5,657.16x = 7,806.90 × 3,173
  4. Step 4: Simplify right side
    5,657.16x = 24,771,293.70
  5. Step 5: Solve for x
    x = 24,771,293.70/5,657.16
  6. Step 6: Final answer
    x = 4,378.75

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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.