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Finding the Fourth Proportional to 3,461.91, 4,777.45 and 1,890

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Solution

The fourth proportional to 3,461.91, 4,777.45 and 1,890 is: 2,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.91 : 4,777.45 = 1,890 : x
  2. Step 2: Convert to fraction form
    3,461.91/4,777.45 = 1,890/x
  3. Step 3: Cross multiply
    3,461.91x = 4,777.45 × 1,890
  4. Step 4: Simplify right side
    3,461.91x = 9,029,375.78
  5. Step 5: Solve for x
    x = 9,029,375.78/3,461.91
  6. Step 6: Final answer
    x = 2,608.21

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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.