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Finding the Fourth Proportional to 3,457, 4,770.78 and 1,964.98

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Solution

The fourth proportional to 3,457, 4,770.78 and 1,964.98 is: 2,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457 : 4,770.78 = 1,964.98 : x
  2. Step 2: Convert to fraction form
    3,457/4,770.78 = 1,964.98/x
  3. Step 3: Cross multiply
    3,457x = 4,770.78 × 1,964.98
  4. Step 4: Simplify right side
    3,457x = 9,374,487.28
  5. Step 5: Solve for x
    x = 9,374,487.28/3,457
  6. Step 6: Final answer
    x = 2,711.74

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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.