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Finding the Fourth Proportional to 3,187, 4,397.98 and 1,770.69

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Solution

The fourth proportional to 3,187, 4,397.98 and 1,770.69 is: 2,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187 : 4,397.98 = 1,770.69 : x
  2. Step 2: Convert to fraction form
    3,187/4,397.98 = 1,770.69/x
  3. Step 3: Cross multiply
    3,187x = 4,397.98 × 1,770.69
  4. Step 4: Simplify right side
    3,187x = 7,787,459.21
  5. Step 5: Solve for x
    x = 7,787,459.21/3,187
  6. Step 6: Final answer
    x = 2,443.51

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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.