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Finding the Fourth Proportional to 1,861.98, 2,775 and 1,846.68

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Solution

The fourth proportional to 1,861.98, 2,775 and 1,846.68 is: 2,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.98 : 2,775 = 1,846.68 : x
  2. Step 2: Convert to fraction form
    1,861.98/2,775 = 1,846.68/x
  3. Step 3: Cross multiply
    1,861.98x = 2,775 × 1,846.68
  4. Step 4: Simplify right side
    1,861.98x = 5,124,537
  5. Step 5: Solve for x
    x = 5,124,537/1,861.98
  6. Step 6: Final answer
    x = 2,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.