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Finding the Fourth Proportional to 3,380, 4,663.88 and 1,887.86

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Solution

The fourth proportional to 3,380, 4,663.88 and 1,887.86 is: 2,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380 : 4,663.88 = 1,887.86 : x
  2. Step 2: Convert to fraction form
    3,380/4,663.88 = 1,887.86/x
  3. Step 3: Cross multiply
    3,380x = 4,663.88 × 1,887.86
  4. Step 4: Simplify right side
    3,380x = 8,804,752.50
  5. Step 5: Solve for x
    x = 8,804,752.50/3,380
  6. Step 6: Final answer
    x = 2,604.96

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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.