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Finding the Fourth Proportional to 3,965, 5,471.70 and 2,309

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Solution

The fourth proportional to 3,965, 5,471.70 and 2,309 is: 3,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965 : 5,471.70 = 2,309 : x
  2. Step 2: Convert to fraction form
    3,965/5,471.70 = 2,309/x
  3. Step 3: Cross multiply
    3,965x = 5,471.70 × 2,309
  4. Step 4: Simplify right side
    3,965x = 12,634,155.30
  5. Step 5: Solve for x
    x = 12,634,155.30/3,965
  6. Step 6: Final answer
    x = 3,186.42

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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.