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Finding the Fourth Proportional to 5,655, 7,803.90 and 3,171

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Solution

The fourth proportional to 5,655, 7,803.90 and 3,171 is: 4,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655 : 7,803.90 = 3,171 : x
  2. Step 2: Convert to fraction form
    5,655/7,803.90 = 3,171/x
  3. Step 3: Cross multiply
    5,655x = 7,803.90 × 3,171
  4. Step 4: Simplify right side
    5,655x = 24,746,166.90
  5. Step 5: Solve for x
    x = 24,746,166.90/5,655
  6. Step 6: Final answer
    x = 4,375.98

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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.