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Finding the Fourth Proportional to 1,810.98, 2,716.47 and 837.09

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Solution

The fourth proportional to 1,810.98, 2,716.47 and 837.09 is: 1,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.98 : 2,716.47 = 837.09 : x
  2. Step 2: Convert to fraction form
    1,810.98/2,716.47 = 837.09/x
  3. Step 3: Cross multiply
    1,810.98x = 2,716.47 × 837.09
  4. Step 4: Simplify right side
    1,810.98x = 2,273,929.87
  5. Step 5: Solve for x
    x = 2,273,929.87/1,810.98
  6. Step 6: Final answer
    x = 1,255.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.