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Finding the Fourth Proportional to 3,370, 4,650.69 and 1,877.98

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Solution

The fourth proportional to 3,370, 4,650.69 and 1,877.98 is: 2,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370 : 4,650.69 = 1,877.98 : x
  2. Step 2: Convert to fraction form
    3,370/4,650.69 = 1,877.98/x
  3. Step 3: Cross multiply
    3,370x = 4,650.69 × 1,877.98
  4. Step 4: Simplify right side
    3,370x = 8,733,902.81
  5. Step 5: Solve for x
    x = 8,733,902.81/3,370
  6. Step 6: Final answer
    x = 2,591.66

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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.