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Finding the Fourth Proportional to 3,461.90, 4,777.61 and 1,890

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Solution

The fourth proportional to 3,461.90, 4,777.61 and 1,890 is: 2,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.90 : 4,777.61 = 1,890 : x
  2. Step 2: Convert to fraction form
    3,461.90/4,777.61 = 1,890/x
  3. Step 3: Cross multiply
    3,461.90x = 4,777.61 × 1,890
  4. Step 4: Simplify right side
    3,461.90x = 9,029,673.45
  5. Step 5: Solve for x
    x = 9,029,673.45/3,461.90
  6. Step 6: Final answer
    x = 2,608.30

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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.