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Finding the Fourth Proportional to 3,186.70, 4,397.86 and 1,770.50

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Solution

The fourth proportional to 3,186.70, 4,397.86 and 1,770.50 is: 2,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.70 : 4,397.86 = 1,770.50 : x
  2. Step 2: Convert to fraction form
    3,186.70/4,397.86 = 1,770.50/x
  3. Step 3: Cross multiply
    3,186.70x = 4,397.86 × 1,770.50
  4. Step 4: Simplify right side
    3,186.70x = 7,786,411.13
  5. Step 5: Solve for x
    x = 7,786,411.13/3,186.70
  6. Step 6: Final answer
    x = 2,443.41

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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.