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Finding the Fourth Proportional to 5,657.58, 7,805.43 and 3,173.58

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Solution

The fourth proportional to 5,657.58, 7,805.43 and 3,173.58 is: 4,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.58 : 7,805.43 = 3,173.58 : x
  2. Step 2: Convert to fraction form
    5,657.58/7,805.43 = 3,173.58/x
  3. Step 3: Cross multiply
    5,657.58x = 7,805.43 × 3,173.58
  4. Step 4: Simplify right side
    5,657.58x = 24,771,156.54
  5. Step 5: Solve for x
    x = 24,771,156.54/5,657.58
  6. Step 6: Final answer
    x = 4,378.40

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1.5x scale

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.